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Question

Find the measure of an angle, if seven times its complement is 10° less than three times its supplement.

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Solution

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,
790-x=3180-x-10630-7x=540-3x-104x=100x=25
Hence, the measure of the required angle is 25°.

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