Find the angle whose supplement is four times its complement. - Vidyadip

Question

Find the angle whose supplement is four times its complement.

✓

Answer

Let the measure of the required angle be xº.
Then, measure of its complement = (90 - x)º.
And, measure of its supplement = (180 - x)º.
(180 - x) = 4 (90 - x)
⇒ 180 - x = 360 - 4x
⇒ 3x = 180
⇒ x = 60
Hence, the measure of the required angle is 60º.

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