Find the angle whose complement is one third of its supplement.
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Let the measure of the required angle be x°.
Then, the measure of its complement = (90 − x)°
And the measure of its supplement = (180 − x)
Therefore,
(90 − x) = (180 − x)
⇒ 3 (90 − x) = (180 − x)
⇒ 270 − 3x = 180 − x
⇒ 2x = 90
⇒ x = 45
Hence, the measure of the required angle is 45°.
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your answer is 45 ........friend
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