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You can represent the measures of an angle and its complement as tº 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.

1. The measure of an angle is three times the measure of its supplement.
2. The measure of the supplement of an angle is three times the measure of its complement.
3. The measure of an angle increased by 20° is equal to the measure of its complement.​

User Coltfred
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1 Answer

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Answer:

180° - t = 5 · ( 90° - t )

180° - t = 450° - 5 t

5 t - t = 450° - 180°

4 t = 270°

t = 270° : 4

t = 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°

i hope this is right <3

User Adam Szmyd
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