Question

You can represent the measures of an angle and its complement as x° and (90 − x)°. Similarly, you can represent the measures of an angle and its supplement as x° and (180 − x)°. Use these expressions to find the measures of the angles described. The measure of the supplement of an angle is five times the measure of its complement

Answer 1

180° - x = 5 · ( 90° - x )
180° - x = 450° - 5 x
5 x - x = 450° - 180°
4 x = 270°
x = 270° : 4
x = 67.5°
The measure of an angle is 67.5°.
Its complement angle: 22.5°.
Its supplement angle: 112.5°
112.5° = 5 x 22.5°