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Question

Find the measure of the angle if 5 times its complement angle is 22 degree less than thrice its supplement .

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Solution

Let angle be x
its complement = 90 -x
its supplementery = 180-x
acording to question
5(90-x) = 3(180-x)-22
450-5x= 540-3x - 22
450-540+22 =5x-3x
-68 = 2x
x = -34
Problem is incorrect as angle cannot be negative.

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