This discussion on An angle is twice its complementary angle. Complementary Angles. Determine its measure adarshmishra40 adarshmishra40 27.11.2018 Math Secondary School An angle is equal to five times its complement . The sum of the measures of two complementary angles is (a) 180° (b) 60° (c) 45° (d) 90° Answer/Explanation. Question 2. Complementary Angles: It is defined as, any two angle that add up to 90 degrees( a right angle). Math. a. Answer: (d) Explanation : Definition of complementary angles. Find the measures of the angles Get the answers you need, now! Hope this helps you understand, it isn't pointless trust me. 3. Complementary and supplementary angles are the two types of angles based on their measures. In other words, if two angles add up to form a right angle, then these angles are referred to as complementary angles. An angle that measures 90 0 is a complementary angle and whose measure is 180 0 is a supplementary angle. The Questions and Answers of An angle is twice its complementary angle. So if you have an angle that is 20 degrees, then the complement angle measures 70 degrees. The measure of the complement of any angle A is ninety degrees minus the measure of angle A. (y – 20)° and (y + 30)° are the measures of complementary angles. What is the measure of the angle?a)30°b)90°c)60°d)120°Correct answer is option 'C'. They always adds up to give positive measures and each angle can only be acute angle measuring less than 90 degree. x+5x=450. In case you need to set up an equation in addition to finding the answer: Let x = the angle. Then it's complement will b(90-x). When the sum of two angles is 90°, then the angles are known as complementary angles. Select the measure of the complement or supplement of the angle. Two supplementary angles add up to 180 degrees. Therefore, any combination of a complement of an acute angle MUST be acute. Now let's parse your question, starting by defining our variables: Let C = the measure of the complement angle and let A = the measure of the original angle. Can you explain this answer? Here we can say that one angle is the complement of other or the one angle is the complementary to the other angle. Since they are complementary angles, the angle + the angle's complement = 90 degrees Let's Review Complementary angles form a right angle (L shape) and have a sum of 90 degrees. We have studied basic geometrical terms. Let the measure of the complementary angle be a°. Supplementary angles form a straight line and have a sum of 180 degrees. Then x -30 = the measure of the angle's complement. We know that two lines having a common vertex form an angle. x=5(90-x) x=450-5x. Find the measure of the angle and its complement. Two complementary angles add up to 90 degrees. So 30 degrees is complementary to 60 because they together make 90. ∴ x + a = 90 ∴ x + a – x = 90 – x …. 38, 52 b. The measure of the complement of the angle 30° is 6x=450. x=450/6=75. Here we say that the two angles complement each other. The measure of an angle's complement is 24 less than twice the measure of the angle. (Subtracting x from both sides) ∴ a = (90 – x) ∴ The measure of the complement of an angle of measure x° is (90 – x)°. is done on EduRev Study Group by Railways Students. vii. For example, even if the angle was the minimum 1 degree, the complement is still 89 degrees, which is still acute. Find an answer to your question an angle is equal to five times its complement . The missing angle measures 103 degrees. Suppose if one angle is x then the other angle will be 90 o – x. Determine its measure ... Let the angle be x. An acute angle is an angle whose measure is more than 0 degrees but less than 90 degrees. A/q. 54, 36 c. 68, 112 d. 112, 68 . A complement of an acute angle must be an acute angle. 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