You can represent the measures of an angle and its complement as x° and (90 − x)°. Similarly, you can represent the measures of

Question

3 years ago

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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 an angle increased by 58° is equal to the measure of its complement.

Mathematics

1 answer:

Alekssandra [29.7K] · Answer 1 · 2022-01-22T17:15:16+03:00

Alekssandra [29.7K]3 years ago

4 0

Answer:

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

Step-by-step explanation: