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Question

Find the measure of an angle if five times its complement is 12° less than twice its supplement.

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Solution


Let the measure of the angle be x°.
Then, its complement = 90-x
And its supplement = 180-x
590-x=2180-x-12450-5x=360-2x-12450-348=3x3x=102x=34
Therefore, the measure of the required angle is 34.

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