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Question -

If the supplement of an angle is three times its complement, find the angle.



Answer -

Let required angle = x
Then its complement = 90┬░-┬а x
and supplement = 180┬░ тАУ x
тИ┤┬а 180┬░-x = 3(90┬░-x)
тЗТ┬а 180┬░ тАУ x = 270┬░ тАУ 3x
тЗТ┬а -x + 3x = 270┬░ тАУ 180┬░
тЗТ 2x = 90┬░ тЗТ x ==45┬░
тИ┤ Required angle = 45┬░

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