# Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle is 58.5 degrees. What are the measures of the small and large angle?

##### 1 Answer

Jan 12, 2016

Let the angles be

Complementary angles are those whose sum is

It is given that

The sum of the measure of the first angle and one-fourth the second angle is 58.5 degrees can be written as a equation.

Multiply both sides by

Put

Therefore, the small angle is