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Question

Find the measure of an angle, if six times it's complement is 12 degree less than twice it's supplement.


Solution

Let the angle be x
its complement=(90-x)
its supplement=(180-x)
according to the question
6(90-x)+12=2(180-x)
540-6x+12=360-2x
552-360=4x
192=4x
x=48 degree
so the angle is 48degree

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