Question

An angle measures 77.8° less than the measure of its complementary angle. What is the measure of each angle?

Answer 1

6.1° and 83.9°

Explanation:

Complementary angles sum 90°

a+b = 90°

a = b - 77.8

then:

(b - 77.8) + b = 90

2b - 77.8 = 90

2b = 90 + 77.8

2b = 167.8

b = 167.8/2

b = 83.9°

a = b - 77.8

a = 83.9 - 77.8

a = 6.1°