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Supplementary Angles

an angle is 3...

Question

an angle is 30º less than 2 times it supplementary. find the angle

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Solution

x = angle measure in degrees
Therefore supplementary angle=180-x
Given x is 30 degree less than 2 times supplementary angle
i.e x=2(180-x)-30
i.e x=360-2x-30
i.e 3x=330
i.e x=110 degree
Therefore the angle is 110 degree and its supplemetary angle is 70 degree

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