Question

An angle measures 58.4° more than the measure of its complementary angle what is the measure of each angle?

Answer 1

15.8

74.2

Explanation:

Call the two angles A and B

A = B + 58.4 Substitute for A

A + B =90

B + 58.4 + B = 90 Combine like terms

2B + 58.4 = 90 Subtract 58.4

2B = 90 - 58.4

2B = 31.6 Divide by 2

B = 15.8

A = 15.8 + 58.4 Fin A

A = 74.2