Question

The measure of one angle is 20 less than the measure of its complement. What are

the measures of the two angles?
a. 20 and 70
b. 35 and 55
c. 40 and 60
d. 80 and 100

Answer 1

To find the measures of the angles, set up an equation using the given information. The measures of the two angles are 35 degrees and 55 degrees.

Step-by-step explanation:

To find the measures of the angles, we need to set up an equation using the given information. Let x be the measure of one angle.

The complement of an angle is 90 degrees minus the angle. So, the measure of the other angle is 90 - x.

According to the given information, x is 20 less than the complement.

So, x = (90 - x) - 20

Simplifying the equation, we get 2x = 70, which gives x = 35.

Therefore, the measures of the two angles are 35 degrees and 55 degrees.