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Question -

If the supplement of an angle is two-third of itself Determine the angle and its supplement.



Answer -

Let required angle = x
Then its supplement angle = 180° – x
∴  (180°-x)=  x
540° – 3x = 2x ⇒ 2x + 3x = 540°
⇒ 5x = 540°⇒  x == 108°
-. Supplement angle = 180° – 108° = 72°

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