Question

two angles are complementary what is the measure of each angle if the larger is 10° more than the larger angle?

Answer 1

40° and 50°

Explanation:

Let "a" represent the larger angle. Then the smaller one is (a-10) and their sum is ...

a + (a -10) = 90 . . . . . complementary angles sum to 90°

2a = 100 . . . . . . . add 10, simplify

a = 50

(a-10) = 40

The two angles are 40° and 50°.