SOLUTION: Find an angle such that three times the angle is equal to the sum of its supplement and complement. Thank you.

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Question 778342: Find an angle such that three times the angle is equal to the sum of its supplement and complement. Thank you.
Answer by MathTherapy(10557) About Me  (Show Source):
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Find an angle such that three times the angle is equal to the sum of its supplement and complement. Thank you.

Let angle's measure be A

Then its supplement = 180 - A, and its complement = 90 - A

Therefore, 3A = 180 - A + 90 - A

3A = 270 - 2A

3A + 2A = 270

5A = 270

A, or measure of angle = 270%2F5, or highlight_green%2854%5Eo%29

You can do the check!!

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