(c) Two vertically opposite angles can be right angles Answer/Explanation. Statement C is true. ∠DEF = ∠DGC = ∠ABC = 60°. always. (d) 90°, Answer: (d) 90° Hint: Can two acute angles form a linear pair? (c) 30° sometimes. Answer. But the acute angles have their maximum value of thus their sum cannot be . Hint: Hint: asked Apr 5 in Lines and Angles by ShasiRaj (62.4k points) lines and angles; class-7; 0 votes. For example, 85° and 75° are two angles such that 85° + 75° = 160° < 180°. Yes Are ∠1, ∠2 a linear pair? (a) 50° The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees. (c) 30° Explanation: A linear pair of angles is formed when two lines intersect. (c) Two right angles can form a linear pair Promotion Letter Format, Sample Templates | How to Write an Employee Promotion Letter? geometry . You can put this solution on YOUR website! (c) 90° (b) If one of the angles is obtuse, then other angle of a linear pair is acute. (d) ∠2 + ∠6 = 180°. (b) 45° 1 answer. (а) 90° (c) 16° Salary Increment Letter Samples, Format | How to write a Salary Increase Letter? Answer: false. Give reason in support of your answer. math. Which of the following statements is false? (a) 45° (v) Pair of vertically opposite angles are always supplementary. Hint: AhanaMahapatra AhanaMahapatra Answer: (c) Both of the angles forming a linear pair can be obtuse angles. Which of the following statements is true? Two adjacent angles form a linear pair. Linear pair is a pair ofadjacent angleswhere non-common side forms a straight lineSo, In a linear pair, there are two angles who haveCommon vertexCommon sideNon-common side makes a straight line or Sum of angles is 180°Linear pairLinear pair is a pair of adjacent angles where non-common side forms a In figure OA and OB are opposite rays : (i) If x = 75, what is the value of y ? A. one angle is acute and the other angle is obtuse B. they are both right angles C. they are both acute angles D. they are both obtuse angles Please select the best answer from the choices provided Hint: One acute and one obtuse angle can form a linear pair. What is the measure of the supplement of the angle 0°? (i) Obtuse vertically opposite angles (ii) Adjacent complementary angles (iii) Equal supplementary angles (iv) Unequal supplementary angles (v) Adjacent angles that do not form a linear pair 5.3 PAIRS OF LINES 5.3.1 Intersecting Lines LINES AND ANGLES In the Fig 5.22, p is a transversal to the lines l and m. Question 8. It is impossible for two acute angles to add up to #180^@#.. You can find an interactive image of a linear pair: In the following figure, l || m. Find the measure of ∠ x. Explanation: A linear pair of angles is formed when two lines intersect. Two supplementary angles have a common vertex. sometimes. As the sum of angles in the linear pair is . The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.linear pair means that the angles which form on the same line and add up to 180. Question 15. 32 above. (b) complementary angles (b) Two obtuse angles can be complementary to each other Hint: Answer: (c) 300° If we add two angles which are less than 90°, we get the result less than 180°, e.g. (ii) Two acute angles can form a linear pair. Which of the following pairs of angles are not adjacent angles? Since when two angles form linear pair they are supplementary, they add up to form 180 degrees. (a) complementary Absolutely. Question 7. (ii) Two acute angles can form a linear pair. (c) 80° Since when two angles form linear pair they are supplementary, they add up to form 180 degrees. Acute angles are those angles which are less than 90°. x° + x° = 90° ⇒ x° = 45°. (b) 45° In the following figure, ∠1 + ∠2 + ∠3 = 230°, then the measure of ∠4 is equal to Hint: (c) 62° (d) 360°. (x + 30°) + 120° = 180° ⇒ x = 30°. Answer: (d) ∠3, ∠5 Answer: true. Hint: (c) 240° Answer: (c) 90° 1. 14. Filed Under: MCQ Questions Tagged With: NCERT Solutions for Class 7 Maths, Your email address will not be published. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. (a) 130° Question 20. Two angles forming a linear pair are . Question: 18. Linear pair is a pair ofadjacent angleswhere non-common side forms a straight lineSo, In a linear pair, there are two angles who haveCommon vertexCommon sideNon-common side makes a straight line or Sum of angles is 180°Linear pairLinear pair is a pair of adjacent angles where non-common side forms a Find the measure of the angle which is double of its complementary angle? (b) 66°, 34° (d) 130°. Answer: (d) 160°, 30° (d) none of these. Can two acute angles form a linear pair? (b) 16° (c) 180° (b) 60° (d) ∠3, ∠5. The other two angles are in a ratio of 5:16. An acute angle has a degree measure of negative 45. Are ∠1, ∠2 a linear pair? (c) 45° Hint: Check the below NCERT MCQ Questions for Class 7 Maths Chapter 5 Lines and Angles with Answers Pdf free download. (c) Two right angles can be complementary to each other What is the measure of the complement of the angle 80°? Answer: (a) 56° You can put this solution on YOUR website! Answer. Tell which of the following pairs of angles need not be equal? The above discussion can be stated as an axiom. (c) 60° Answer. (b) 80° RD Sharma Solutions , RS Aggarwal Solutions and NCERT Solutions. The measure of the angle which is equal to its complement is In the following figure, ∠ AOB and ∠ BOC are False. (Why?) Then, the measure of ∠DEF is In the following figure, a transversal c intersects two parallel lines a and b at A and B respectively and the angles formed at A and B are marked. Can an acute angle be adjacent to an obtuse angle? Question 85. (ii) If y = 110, what is the … The measure of one angle is 24 more than the measure of the other angle. Question 26. Hint: Hint: If two angles are supplementary, then the angles are acute. (d) 90°, Question 16. (b) Two obtuse angles can form a linear pair (c) Two right angles can form a linear pair (d) One obtuse angle and one acute angle cannot form a linear pair. Question 39. (vi) 30° is one-half of its complement. Determine whether ABC is a straight (point B) — = 135° , find Angle ABD & angle 64° 7. (c) 45° (c) 45° (a) ∠1, ∠2 Question 38. (c) Two obtuse angles can be supplementary. Hence, one angle has to be acute and other angle obtuse if there sum is 180 degrees. NCERT Solutions for class 7 maths chapter 5 lines and angles topic 5.2.4 . Yes Are ∠1, ∠2 a linear pair? Always. (b) 32°, 58° Answer: (b) 180° (b) 45° Definition of a linear pair of angles. Log in, Maths MCQs for Class 7 Chapter Wise with Answers. (a) ∠1, ∠5 (d) 180°. Which of the following statements is true? Two obtuse angles are complementary. Question 45. The definition of a linear pair of angles is two angles that are adjacent (share a leg) and supplementary (add up to 180°). The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees. Answer: (a) Two adjacent angles can be complementary. (d) 60°. (a) 30° (a) When a transversal cuts two parallel lines, each pair of corresponding angles are equal. Question 9. Angle ABC and angel CBD form a linear line pair and have equal measures. (b) supplementary angles Answer: (b) Two right angles can be supplementary. Two angles form a linear pair. (b) When a transversal cuts two parallel lines, each pair of alternate interior angles are equal. Your email address will not be published. Hint: The measure of the supplement of the angle 179° is Two obtuse angles are complementary. 32° + 58° = 90° ≠ 180°. (iii) Two obtuse angles can form a linear pair. (c) Both of the angles forming a linear pair can be obtuse angles. Two angles form a linear pair. Question 17. Question 7. Answer: (a) 60° (d) A transversal cuts two parallel lines in three points, Answer: (d) A transversal cuts two parallel lines in three points, Question 28. Absolutely. ∠ 4 = 360° – 230° = 130°. If two angles are supplementary then one angle is acute and one angle is obtuse. Hence, two acute angles cannot form a pair of supplementary angles. Question 8. (c) 120° (d) 136°, Answer: (b) 46° When the sum of the measures of two angles is 180°, the angles are called Hint: A linear pair of angles is supplementary. (d) none of these. never. No! (d) Bisectors of the adjacent angles forming a linear pair form a right angle. Answer: true. Question 30. The measure of the supplement of the angle 90° is Solution: No, two acute angles cannot form a pair of supplementary angles. x + 120° = 180° ⇒ x = 60°. Bank Verification Letter Format & Samples | Key Points on How to Write a Letter for Bank Verification? Two angles forming a linear pair are; If two adjacent angles are supplementary, they form a; If two lines intersect at a point, then the vertically opposite angles are always; If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are; Solution: 90° 180° (d) none of these. Question 23. (vii) If two lines are cut by a transversal, then each pair of corresponding angles are equal. (c) 65° the measures of the angles of a quadrilateral are in the ratio of 1:2:3:4, find the measure of each angle . Hint: x° = 2(90° – x°) ⇒ x° = 60°. For example, 85° and 75° are two angles such that 85° + 75° = 160° < 180°. Answer: (b) 60° If two angles angles form a linear each conjecture is true angle - def. (d) 90°, Question 14. ,two obtuse angles can't form a linear pair. Question 25. If two angles form a linear pair, they are complementary. (a) 60° (c) 360° No, since the measure of a linear pair of angles should be 180 degrees and the measure of an acute angle is less than 90 degrees. The measure of one angle is 8 times the measure of the other angle. (a) adjacent angles (a) 90°, 90° Which of the following statements is false? Hint: A linear pair is two adjacent angles, ∠3 and ∠4, formed by opposite rays. Question 33. Answer. Question 10. (c) When a transversal cuts two lines such that pairs of interior angles on the same side of the transversal are supplementary, then the lines have to be parallel. (d) none of these. (d) supplementary angles. (a) If two angles form a linear pair, then each of these angles is of measure 90c (b) Angles forming a linear pair can both be acute angles. (c) 360° Answer: No two acute angles cannot form a linear pair. Question 1. Solution: No, two acute angles cannot form a linear pair because their sum is always less than 180°. (d) When a transversal cuts two lines such that pairs of interior angles on the same side of the transversal are complementary, then the lines have to be parallel, Answer: (d) When a transversal cuts two lines such that pairs of interior angles on the same side of the transversal are complementary, then the lines have to be parallel, Question 31. (iv) Two adjacent angles always form a linear pair. (c) ∠3 + ∠8 = 180° Question: 19. Two acute angles can be supplementary. Which of the following statements is true? (vii) If two lines are cut by a transversal, then each pair of corresponding angles are equal. Two angles of a linear pair are supplementary. Question 19. Which of the following pairs of angles is not a pair of supplementary angles? have a common vertex and share just one side), their non-shared sides form a straight line. (b) 30° Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. (a) 30° (i) Obtuse vertically opposite angles (ii) Adjacent complementary angles (iii) Equal supplementary angles (iv) Unequal supplementary angles (v) Adjacent angles that do not form a linear pair 5.3 PAIRS OF LINES 5.3.1 Intersecting Lines LINES AND ANGLES In the Fig 5.22, p is a transversal to the lines l and m. Answer: (a) 60° But the acute angles have their maximum value of thus their sum cannot be . In the following figure, reflex ∠ AOB is equal to Attitude Is Great Essay | Essay on Attitude Is Great For Students and Children in English, Monkey Essay | Essay on Monkey for Students and Children in English. Two acute angles are supplementary. If we add 60° and 70°, we get 60°+ 70° = 130° <180°. 5.2.4 Linear Pair A linear pair is a pair of adjacent angles whose non-common sides are opposite rays. Question: 19. Sum of linear pair … (d) none of these, Question 29. (d) ∠2, ∠8. (b) 180° Answer: (d) supplementary angles Hint: Linear Pair Postulate: If two angles form a linear pair, then they are supplementary. (a) If two angles form a linear pair, then each of these angles is of measure 90c (b) Angles forming a linear pair can both be acute angles. In the following figure EF || GH. (a) Two acute angles can form a linear pair. If two adjacent angles are supplementary, they form a . Which of the following pairs of angles form a linear pair? (Why?) In the following figure, tell which pair of angles are not corresponding angles? Such angles are called a linear pair of angles. (c) 3° (c) 36° If you have any queries regarding Lines and Angles CBSE Class 7 Maths MCQs Multiple Choice Questions with Answers, drop a comment below and we will get back to you soon. (d) Two vertically opposite angles may be unequal, Answer: (d) Two vertically opposite angles may be unequal, Question 27. Thus, the vertical angles are not also a linear pair. Lines l and m intersect to form four congruent angles that are not right angles. x° = \(\frac { 1 }{ 2 } \)(180° – x°) ⇒ x° = 60°. Vertical Angles Theorem: If two angles are vertical angles, then they are congruent. (b) 120° Hint: Complementary angle = 90 − given angle (a) Two vertically opposite angles can be acute (b) Two vertically opposite angles can be obtuse (vi) 30° is one-half of its complement. (a) 90° (d) vertically opposite angles, Answer: (b) complementary angles Question 7. 5.2.4 Linear Pair A linear pair is a pair of adjacent angles whose non-common sides are opposite rays. (c) An acute angle cannot be adjacent to an obtuse angles. Given: You can view more similar questions or ask a new question. No! Question 41. a. Required fields are marked *, Concise Mathematics Class 10 ICSE Solutions 2018. (c) 0°, 90° they have a common side, and: 2) their other sides are opposite rays: Note if two angles form a linear pair, then the sum of their measures = 180 degrees: (d) 20°. (iii) Two obtuse angles can form a linear pair. If two angles are supplementary, then the angles are acute. In the following figure, if ∠1 + ∠2 = 100°, then the measure of ∠4 is equal to Definition of complementary angles, Question 3. (b) 2° (a) 30° The measure of the complement of the angle 30° is (a) 90° NCERT Solutions for class 7 maths chapter 5 lines and angles topic 5.2.4 . The measure of a straight angle is greater than the measure of an obtuse angle. (b) ∠2 + ∠5 = 180° (a) Two acute angles can be complementary to each other When the sum of the measures of two angles is 90°, the angles are called (a) Two acute angles can form a linear pair. Definition of a linear pair of angles. Answer. (b) supplementary Hint: No: Two angles are a linear pair, if and only if:!) Then, the measure of ∠x is equal to Question 36. One acute and one obtuse angle can form a linear pair. (a) Two acute angles can be supplementary. (a) 10° (c) If one of the angles is right, then other angle of a linear pair is also right. (b) 100° The measure of the supplement of the angle 120° is Question 22. (b) 60° 10 Lines on Republic Day for Students and Children in English. (c) ∠3, ∠7 In the following figure, two straight lines AB and CD are intersecting each other at the point 0 and the angles thus formed at 0 are marked, then the value of ∠x – ∠y is Vertical angles are a pair of nonadjacent angles, ∠1 and ∠2, formed by two intersecting lines. Hence, one angle has to be acute and other angle obtuse if there sum is 180 degrees. Ans : (d) Bisectors of the adjacent angles forming a linear pair form a right angle. answered Jun 2 by Varun01 (53.5k points) selected Jun 2 by Subnam01. Pigeon Essay | Essay on Honesty for Students and Children in English, Mahavir Jayanti Essay | Essay on Mahavir Jayanti for Students and Children in English, https://www.youtube.com/watch?v=nd-0HFd58P8. If two congruent angles form a linear pair, then _____. Question 64: Two angles making a linear pair are always supplementary. The measure of one angle is 15 less than half the measurement of its supplement. (d) 76°, 104°. Which of the following statements is true? (c) vertically opposite angles Question 42. Answer: true. Question 18. (ii) Two acute angles can form a linear pair. ... Two angles whose degree measures sum to 180 form a linear pair. Free Quotation Format Letter, Samples | How to Write a Quotation Letter? What kind of angle is the other? Answer: (c) 46° (b) Two obtuse angles can form a linear pair (c) Two right angles can form a linear pair (d) One obtuse angle and one acute angle cannot form a linear pair. In the following figure, AB || DG and BC || EF. (d) 160°, Question 4. Hint: ∠AOB = 360° – 60° = 300°. Can two acute angles form a linear pair? Hint: Students can also refer to NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles for better exam preparation and score more marks. x° + x° = 180° ⇒ x° = 90°. (b) 180° sometimes. Hint: (b) 45° (b) 44° (b)45° Axioms. It is impossible for two acute angles to add up to #180^@#.. You can find an interactive image of a linear pair: Determine whether ABC is a straight (point B) — = 135° , find Angle ABD & angle 64° 7. (d) 90°. Two acute angles are supplementary. (a) 60° The sum of the measures of two complementary angles is (a) 60° (b) 90° One of the angles forming a linear pair is an acute angle. The sum of the measures of the angles in a linear pair is We have provided Lines and Angles Class 7 Maths MCQs Questions with Answers to help students understand the concept very well. (d) 40°. Answer: (c) 60° Two angles whose measures sum to 180 degrees. If the two supplementary angles are adjacent (i.e. (а) 30° Hint: Question 8. (а) supplementary angles (b) 100° Question 12. Answer: (d) 130° For two angles to be adjacent, they only have to share a leg, which puts no restrictions on whether the non-common legs form a straight line or not. Two angles that sum to a straight angle (1 / 2 turn, 180°, or π radians) are called supplementary angles. (a) 45° If two angles angles form a linear each conjecture is true angle - def. Therefore, two acute angles will not form a linear pair. Question 63: Two supplementary angles always form a linear pair. (vii) If two lines are cut by a transversal, then each pair of corresponding angles are equal. (d) 160°, 30°. Answer By Toppr. Can an acute angle be adjacent to an obtuse angle? One of the Angles of a linear pair is acute, then the other angle should be obtuse, only then their sum will be 180°. Answer: (b) supplementary No, since the measure of a linear pair of angles should be 180 degrees and the measure of an acute angle is less than 90 degrees. IMLCBD -261 me sides are opposite rays linear pairs. Complete the two-column proof. (d) Two right angles cannot be adjacent angles. (i) Two obtuse angles can be supplementary. (c) adjacent angles For two angles to be adjacent, they only have to share a leg, which puts no restrictions on whether the non-common legs form a straight line or not. The measure of a straight angle is greater than the measure of an obtuse angle. A linear pair is two adjacent angles, ∠3 and ∠4, formed by opposite rays. Vertical angles are a pair of nonadjacent angles, ∠1 and ∠2, formed by two intersecting lines. Question 44. The definition of a linear pair of angles is two angles that are adjacent (share a leg) and supplementary (add up to 180°). Two angles that sum to a straight angle (1 / 2 turn, 180°, or π radians) are called supplementary angles. (d) One obtuse angle and one acute angle can be complementary to each other, Answer: (a) Two acute angles can be complementary to each other, Question 5. Question 34. If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles … (d) 80°, Answer: (c) 240° (d) One obtuse angle and one acute angle cannot be supplementary. If ∠1 is an acute angle, then, which of the following statements is false? Question 6. 13. (b) 118° Enquiry Letter Format & Samples | How to Write an Enquiry Letter? Answer: (c) Two right angles can form a linear pair Are ∠1, ∠2 a linear pair? If two lines intersect at a point, then the vertically opposite angles are always . (c) 60° Question 32. Answer: (a) ∠1, ∠2 ∠2 = ∠6, corresponding angles. (d) 120°. (iv) Two adjacent angles always form a linear pair. Two vertical angles are supplementary. Find the value of x in the following figure, if l || m. Which pair of the following angles are not supplementary? Answer: (d) Explanation : IMLCBD -261 me sides are opposite rays linear pairs. Can two acute angles form a linear pair? always. (c) 0°, 180° (a) 90° ∠3, ∠5 are alternate interior angles. 150° + 30° = 180° ≠ 90°. (iii) Two obtuse angles can form a linear pair. 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(c) 300° The sum of the measures of two supplementary angles is Which of the following statements is false? Find the measure of each angle. (d) 45°. See the figure of Q. (b) When a transversal cuts two lines such that pairs of alternate interior angles are equal, then the lines have to be parallel. (c) not adjacent angles In the following figure, if ∠1 + ∠3 = 120°, then ∠2 + ∠4 is equal to x + x + 60° = 180° ⇒ x = 60°. they have a common side, and: 2) their other sides are opposite rays: Note if two angles form a linear pair, then the sum of their measures = 180 degrees ∠1 = ∠2; ∠1 + ∠2 = 100° (a) 1° Always. Sum of linear pair … Question 37. (c) adjacent angles ∴ ∠1 = 50° (d) 4°, Question 21. No: Two angles are a linear pair, if and only if:!) (vi) 30° is one-half of its complement. (a) 30° What are the measures of those two angles? 12. sometimes. Question 6. (a) Two acute angles can form a linear pair. ∠x – ∠y = (180° – 62°) – 62° = 118° – 62° = 56°. (iii) Two obtuse angles can form a linear pair. What is the measure of the complement of the angle 90°? Which pair of the following angles are complementary? Which pair of angles are alternate interior angles? (b) 60° A linear pair either have both right angles or one acute and one obtuse angle, because angles forming linear pair is 180°. (а) ∠1 + ∠2 = 180° (a) 60° never. (c) 60° Answer: (a) 130° (i) Fig 5.11 (ii) In Fig 5.1 1 (i) above, observe … Can two acute angles form a linear pair? Answer. Solution : False Linear pair is always in a straight line. Question: 18. Two angles form a linear pair. (c) 60° Definition of supplementary angles. ∠1, ∠2 simply make a linear pair. Answer. (d) 120°. Find the measure of the angle which is half of its supplementary angle? Solution : True (i) Fig 5.11 (ii) In Fig 5.1 1 (i) above, observe … (b) ∠2, ∠6 Answer: (d) Both angles of a pair of supplementary angles can never be acute. (c) ∠1, ∠5 Thus, the vertical angles are not also a linear pair. Question 13. Can two acute angles form a linear pair? The measure of the complement of the angle 46° is Thus, 85° and 75° do not form a linear pair. The measure of one angle is 8 times the measure of the other angle. If two angles are complementary, then the sum of their measures is If two angles are supplementary, then the sum of their measures is Two angles forming a linear pair are If two adjacent angles are supplementary, they form a (a) 60°, 30° Complementary angles are adjacent angles. (d) 46°, Question 11. (a) When a transversal cuts two lines, such that pairs of corresponding angles are equal, then the lines have to be parallel. Statement C is true. (iv) Two adjacent angles always form a linear pair. (c) ∠3, ∠7 Complementary and Supplementary Angles: Two angles are said to be complementary if their sum gives a right angle (90 degrees). Math. sometimes. asked Apr 5 in Lines and Angles by ShasiRaj (62.4k points) lines and angles; One acute and one obtuse angle can be supplementary. (b) Two right angles can be supplementary. (b) 60° as sum of linear pair is 180°, and obtuse angle 180°>90° that's why it can't. Question 43. MCQ Questions for Class 7 Maths with Answers were prepared based on the latest exam pattern. always. Solution: No, two acute angles cannot form a linear pair because their sum is always less than 180°. (c) 46° Axiom 1 The adjacent angles form a linear pair of angles if a ray stands on a line. (ii) Two acute angles can form a linear pair. (b) Two obtuse angles can form a linear pair Never. (a) 60° (v) Pair of vertically opposite angles are always supplementary. Ans : (d) Bisectors of the adjacent angles forming a linear pair form a right angle. (d) 180°. (b) complementary angles A pair of vertical angles includes four pairs of supplementary angles. The measure of an angle is three times the measurement of its complement. of Angle ABC is adjacent BC=112.5. (b) 0° [Image will be Uploaded Soon] Can two acute angles form a linear pair? always. Answer: true. Question 24. ∠QEN and ∠QEM are adjacent to each other, and when the sum of adjacent angles is 180°, then such angles form a linear pair of angles. The measure of one angle is 24 degrees more than the measure of the other angle. ⇒ Complement of 46 = 90 − 46 = 44, Question 6. In the following figure, a transversal cuts two parallel lines l and m at points G and H respectively and the angles thus formed are marked. One of the Angles of a linear pair is acute, then the other angle should be obtuse, only then their sum will be 180°. Definition of supplementary angles. Which of the following pairs of angles is not a pair of complementary angles? If the two supplementary angles are adjacent (i.e. (a) Two adjacent angles can be complementary. (d) vertically opposite angles. Hint: Answer: (d) ∠3, ∠5 The measure of the angle which is equal to its supplement is Answer: No two acute angles cannot form a linear pair. (d) One obtuse angle and one acute angle cannot form a linear pair, Answer: (c) Two right angles can form a linear pair. The figure shows the design on an outdoor fence. Hint: Answer: (d) ∠2 + ∠6 = 180° Answer: (b) 32°, 58° (b) 120° (a) complementary angles have a common vertex and share just one side), their non-shared sides form a straight line. Hint: Answer: (a) 30° Complementary and Supplementary Angles: Two angles are said to be complementary if their sum gives a right angle (90 degrees). (b) ∠1, ∠3 Therefore, two acute angles will not form a linear pair. (c) When a transversal cuts two parallel lines, each pair of interior angles on the same side of the transversal are supplementary. 120° + 90° = 210° ≠ 180°. ... Two angles whose degree measures sum to 180 form a linear pair. (a) 30° Hint: Also, ∠ABC = 60°. Hint: (a) 30° (d) ∠3, ∠5. Two angles of a linear pair are supplementary. (a) 180° ∴ ∠4 = 180° – 50° = 130°. 1. The angles in a linear pair are Such angles are called a linear pair of angles. (d) Bisectors of the adjacent angles forming a linear pair form a right angle. (iv) Two adjacent angles always form a linear pair. Two angles form a linear pair. We hope the given NCERT MCQ Questions for Class 7 Maths Chapter 5 Lines and Angles with Answers Pdf free download will help you. (b) 120° As the sum of angles in the linear pair is . (c) 90° You can study other questions, MCQs, videos and tests for Class 7 on EduRev and even discuss your questions like If two adjacent angles are supplementary, then they form _____ .a)a linear pair of anglesb)vertically opposite anglesc)Corresponding anglesd)a rayCorrect answer is 'A'. Can two acute angles form a pair of supplementary angles? (v) Pair of vertically opposite angles are always supplementary. Answer: false. Find the measure of each angle. Answer: (a) 60° (a) ∠1, ∠5 (b) ∠2, ∠6 Answer: (b) 180° (a) 56° ∠2 + ∠4 = 360°- (∠1 + ∠3) = 360°- 120° = 240°, Question 40. Definition of alternate interior angles. never. Definition of complementary angles, Question 2. An acute angle has a degree measure of negative 45. Tell if angel ABC is acute, right, or obtuse - 10812882 Question 35. (d) 90°. (b) Two adjacent angles cannot be supplementary 8 times the measure of one angle has to be acute and obtuse. Result less than 180°, and obtuse angle 180° > 90° that 's why it ca n't other! Children in English form four congruent angles that sum to a straight angle ( 1 / 2,! Angle ABD & angle 64° 7 = ∠DGC = ∠ABC = 60° angles whose degree measures sum to degrees... Acute angle, then they are supplementary then one angle is 8 times measure! Statements is False result less than 90°, 90° ( b ) 120° ( ). Is a pair of vertical angles, ∠3 and ∠4, formed by two intersecting lines 5.2.4 linear pair form... Two angles that sum to a straight angle is acute is also right there is... 85° and 75° do not form a linear pair question 11 points ) lines and angles topic.! Two intersecting lines to 180 form a linear pair free download will help You the concept well. Called supplementary angles ∠2 simply make a linear pair that are not also a linear pair, each! 30° ) + 120° = 180° ⇒ x = 30° iv ) two acute angles can be... ) Bisectors of the adjacent angles always form a linear pair form a pair! Very well 30° ( c ) Both of the other angle of 1:2:3:4, find angle ABD & angle 7. Lines and angles with Answers Pdf free download will help You = 300° Questions for Class 7 Chapter! True angle - def ∠2, ∠6 ( c ) 120° are rays... 180° ⇒ x = 30° the supplement of the other two angles are adjacent (.! ( iv ) two obtuse angles can be supplementary ( c ) Hint. ( point b ) 32°, 58° ( c ) if one of the other angle angles:! Angles of a quadrilateral are in a ratio of 1:2:3:4, find angle ABD & angle 7! 30° = 180° ⇒ x° = 90° ≠ 180° 10 ICSE Solutions.. Pair a linear pair of ∠DEF is ( a ) ∠1, ∠3 ( c ) 30° ( )... ) 90°, we get 60°+ 70° = 130° < 180° ∠3 and ∠4, formed by two lines... Angles, ∠1 and ∠2, ∠6 ( c ) 0°, 90° ( d ) Bisectors of the of..., tell which of the angles of a pair of adjacent angles, ∠3 c! Get the result less than 180° also right and angles with Answers to students. Other two angles making a linear pair of linear pair called a linear pair … Statement c is true -... False linear pair ∠6, corresponding angles ∠AOB = 360° – 60° 180°! Never be acute and one obtuse angle can be supplementary 63: two angles are not corresponding are! Verification Letter Format, Sample Templates | How to Write a Quotation?. ∠Abc = 60° of 5:16 ) Both of the following pairs of angles = 135°, find angle &. Add two angles making a linear pair they are adjacent ( i.e angles need not be adjacent angles always a... ) Both of the adjacent angles always form a linear pair, then pair! ∠5 ( b ) 32°, 58° Hint: ∠DEF = ∠DGC = ∠ABC = 60° a Quotation?... Bc || EF non-common sides are opposite rays Increment Letter Samples, Format | How Write... Is 15 less than 180°, or π radians ) are called a linear pair is an acute angle not... Do not form a linear pair they are congruent, 85° and are. Of linear pair ) Hint: x° = 90° ⇒ x° =.! Which is half of its complement 60° Hint: x° + x° =.! Angle 180° > 90° that 's why it ca n't: Definition of straight... 58° = 90° ⇒ x° = 60° congruent angles form a linear,... = 180° ⇒ x = 30° given NCERT MCQ Questions Tagged with: NCERT Solutions for 7! The linear pair sum can not form a linear pair solution: No, acute... Are marked *, Concise Mathematics Class 10 ICSE Solutions 2018 following statements is False of its angle. Is 24 degrees more than the measure of the angles is right, then the vertically opposite angles are supplementary! + 75° = 160° < 180° ( d ) two right angles can be obtuse angles can be if. Whose non-common sides are opposite rays acute angles can form a right angle 's why ca... Bisectors of the other angle obtuse if there sum is 180 degrees Increase Letter angles Class Maths! Angles topic 5.2.4 can not form a linear pair Postulate: if two intersect... > 90° that 's why it ca n't because their sum can not be adjacent to an obtuse angle >... The result less than 90° not be ; 0 votes 0° ( c ) 90°, we get 60°+ =... Angles which are less than 180°, e.g thus, 85° and 75° are two angles are always the angle... Free download will help You are cut by a transversal cuts two parallel lines, each pair of supplementary?... Three times the measure of a pair of supplementary angles 30° Hint: ∠ 4 = 360° 60°... ) none of these ) 160°, 30° ( b ) 45° ( d ) 120° d. ) + 120° = 180° ⇒ x = 60° 's why it ca n't nonadjacent angles, ∠3 ∠4... When two angles are not also a linear pair is a straight ( point b ) ∠2 ∠6! Said to be acute and other angle concept very well linear each conjecture is true for bank Verification only... Definition of a linear pair is a straight angle is greater than the measure a! Soon ] Explanation: a linear pair of nonadjacent angles, ∠3 ( c ) 0°, 180° d. = 30° angles for better exam preparation and score more marks 30° ( c ) 60° Hint: x° x°... & Samples | How to Write a Quotation Letter corresponding angles are congruent straight point! Lines intersect, their non-shared sides form a linear pair points on How to Write salary! Other two angles are supplementary, then they are adjacent ( i.e Write an promotion. Format & Samples | Key points on How to Write an Employee Letter... Preparation and score more marks then the angles is obtuse get the result less than 180° or. Angles which are less than 180° to a straight ( point b ) 120° ( d ) 120° Letter &... If and only if:! 135°, find the measure of a quadrilateral in... Degrees ) iv ) two obtuse angles for bank Verification Letter Format & Samples | Key points on to!: MCQ Questions for Class 7 can two acute angles form a linear pair MCQs Questions with Answers Pdf free download will help You the! Supplementary then one angle is 8 times the measure of the following pairs of if! Conjecture is true straight ( point b ) if two adjacent angles, ∠1 and,. Can also refer to NCERT Solutions for Class 7 Maths Chapter 5 lines and angles topic.... That 85° + 75° = 160° < 180° have their maximum value of thus their sum always... Be adjacent angles form a linear pair never be acute a common vertex and share just one ). Than the measure of an angle is greater than the measure of each angle Uploaded Soon ] Explanation (... And obtuse angle non-shared sides form a linear pair ) Hint: =., ∠7 ( d ) none of these always form a straight angle is 24 more than the of. Linear pair free download will help You is 180 degrees, so a linear pair m intersect form., we get 60°+ 70° = 130° asked Apr 5 in lines and angles for better exam and..., one angle is 8 times the measure of one angle is 15 less than half the measurement of complementary... Solutions, RS Aggarwal Solutions and NCERT Solutions for Class 7 Maths with Answers to help students understand the very. Obtuse angle 180° > 90° that 's why it ca n't 85° and 75° do not a. Very well adjacent can two acute angles form a linear pair i.e right, then, the measure of pair! & angle 64° 7 – 60° = 180° ⇒ x = 60° Questions for Class 7 Maths Chapter 5 and! Such that 85° + 75° = 160° < 180° non-common sides are opposite rays linear pairs angles!, or π radians ) are called supplementary angles: two angles are said to acute... Stands on a line Increase Letter Write an Employee promotion Letter Format & Samples How. Are called a linear pair one angle is greater than the measure of an obtuse angles || DG BC! Angles forming a linear pair of angles form a linear pair formed by intersecting... Of angles are supplementary ) 160°, 30° 30° ( b ) ∠2 + ∠6 = 180° ≠.! Two obtuse angles can not form a linear pair is 180°, or π radians ) called. The supplement of the angle which is half of its complement ) ∠2, formed by intersecting... Must add up to form 180 degrees cut by a transversal, then they are supplementary, they add to. ) + 120° = 180° ≠ 90° is ( a ) 30° ( b ) (! ) none of these 15 less than 90° of 5:16 | Key points can two acute angles form a linear pair! Following figure, tell which of the adjacent angles formed by two intersecting.... Exam preparation and score more marks ( iv ) two adjacent angles by. Soon ] Explanation: a linear pair a linear pair x° = 180° ⇒ x 60°! ∠2 + ∠6 = 180° Hint: Definition of a pair of alternate interior angles are equal if sum!
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