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

Question

Jordyn Ewing

Mathematics

3 June, 15:45

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

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Deangelo · 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°