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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°-  x
and supplement = 180° – x
∴  180°-x = 3(90°-x)
⇒  180° – x = 270° – 3x
⇒  -x + 3x = 270° – 180°
⇒ 2x = 90° ⇒ x ==45°
∴ Required angle = 45°

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