Question

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.

The measure of the angle is 64 degrees greater than its complement.
What is the measure of the complement?

Answer 1

13 degrees

Explanation:

Let x be the degree measure of the angle's complement

Then we have the other angle is x + 64

Because the 2 angles complement each other so the sum of the 2 angles is 90

So we have the equation: 2x + 64 = 90

<=> 2x = 26

<=> x = 13