The supplement of an angle is four times as large as the complement of the same angle. What is the measure of the angle?

Bogdan Vakulenko asked Mar 13, 2023

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Bogdan Vakulenko asked Mar 13, 2023

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25 votes

Answer:

60°

Explanation:

Let the angle be x. Then, its supplement is (180°-x) and its complement is (90°-x).

$180-x=4(90-x) \\ \\ 180-x=360-4x \\ \\ 3x=180 \\ \\ x=60^(\circ)$

Seth Malaki answered Mar 17, 2023

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