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When angles are complementary the sum of their measures is 90 degrees. Two complementary angles have measured of 2x-10 degrees and 3x-10. Fine the measures of each angle

User Avik
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56° and 34°

complementary angles sum to 90° thus

3x - 10 + 2x - 10 = 90

5x - 20 = 90

add 20 to both sides of the equation

5x = 90 + 20 = 110

divide both sides by 5

x =
(110)/(5) = 22

angle 2x - 10 = (2 × 22) - 10 = 44 - 10 = 34° and

angle 3x - 10 = (3 × 22) - 10 = 66 - 10 = 56°


User Zehata
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