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
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°
