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An angle is equal to one fifth of its supplement. What is the measure of that angle?

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Question:

A
30

explanation

The supplement of an angle is the angle that, when added to the given angle, equals 180 degrees. Therefore, the supplement of the angle is (180 - x) degrees.

According to the given information, the angle is equal to one-fifth of its supplement. Mathematically, we can express this as:
The sum of supplement angles is 180. Let 𝑥 be that angle. Therefore:

𝑥 + 5𝑥 = 180

6𝑥 = 180, divide both sides by 6.

𝑥 = 30

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