Question

Incorrect

1 try left. Try once more
The measure of the complement of an angle is three times the measure of the angle. Find the measures of the angle and its complement.
measure of the angle =
measure of the angle's complement=

Answer 1

The measure of the angle is 22.5° and the measure of its complement is 67.5°.

Step-by-step explanation:

Let's represent the measure of the angle as x. The complement of the angle is then represented as 90° - x.

We are given that the measure of the complement is three times the measure of the angle, so we can write the equation 90° - x = 3x.

Simplifying the equation, we get 4x = 90°. Dividing both sides by 4, we find that x = 22.5°. Therefore, the measure of the angle is 22.5° and the measure of its complement is 67.5°.

Learn more about Angle Complements