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Question

If the compliment of an angle is equal to the supplement of the thrice of it find the measure of angle

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Solution

Let x is the measure angle
then it's compliment angle is (90- x)
and it's supplementary angle is (180-x)
now
3(90-x) = (180-x)
or, 270- 3x = 180- x
or, 270-180 = 3x -x
or, 90 = 2x
or x =90/2 = 45°

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