Please explain in detail so I know for next time.

Question

Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle is 62.25 degrees. Find the measures of the angles.
What is the measure of the smaller angle?
What is the measure of the other angle?

Answer 1

A+B=90
A+ 1/4 * B =62.25

I would solve by subtracting the second equation from the first.

Answer 2

This site may help you figure this problem out yourself.

http://www.mathsisfun.com/geometry/complementary-angles.html