Use an algebraic equation to find the measures of the two angles described below. Begin by letting x represent the degree measure of the​ angle's complement.

Question

The measure of the angle is 76 degrees greater than its complement.

What is the angle of the complement?
x=?

What is the measure of the other angle?

Answer 1

x = (90 - x) + 76
2x = 166
x = 83

so the angle is 83 degrees and the complement is 7 degrees