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Complementary angles are a pair of angles that, when added together, equal 90°. In simpler terms, if you have ∠1 and ∠2, and their measures sum up to 90°, then ∠1 and ∠2 are considered complementary. We refer to ∠1 and ∠2 as each other's complements based on this relationship.
WORD PROBLEMS ON COMPLEMENTARY AND SUPPLEMENTARY ANGLES. Complementary angles : Two angles are complementary, if the sum of their measures is equal to 90. Supplementary angles : Two angles are supplementary angles if the sum of their measures is equal to 180 degrees. Problem 1 : Angles A and B are complementary.
In geometry, complementary angles are defined as two angles whose sum is 90 degrees. Two complementary angles when put together form a right angle. Learn the differences between complementary and supplementary angles.
Problem 1 : Angles A and B are complementary. If m∠A = 3x - 8 and m∠B = 5x + 10, what is the measure of each angle ? Solution. Problem 2 : Angles Q and R are supplementary. If m∠Q = 4x + 9 and m∠R = 8x + 3, what is the measure of each angle ? Solution. Problem 3 :
Problem 1 : Angles G and H are complementary. If m∠G = 3x + 6 and m∠H = 2x - 11. what is the measure of each angle? Solution : Complementary angles measure 90˚. ∠G + ∠H = 90˚. 3x + 6 + 2x - 11 = 90˚. 5x - 5 = 90˚. 5x = 95. x = 19. So, m∠G = 3x + 6. m∠G = 3 (19) + 6. = 57 + 6. m∠G = 63˚. m∠H = 2x - 11. = 2 (19) - 11. = 38 - 11. m∠H = 27˚.
Problems on complementary and supplementary angles are most easy to solve if you just remember the numbers 90 and 180. With the definitions given below, you will know how these numbers have been used in angles. You have ample problems to identify and calculate the missing measure of angles.
This lesson is a small collection of typical comparatively simple problems on finding supplementary and complementary angles. The goal of this text is to teach you by examples to make first steps in this area.
