Q12 of 153 Page 113

Find the angle whose complement is four times its supplement.

180°


Let the angle = X


Complement of X = 90° – X


Supplement of X = 180° – X


According to question,


⇒ 90° – X = 4(180° – X)


⇒ 180° – X = 720° – 4X


⇒ – X + 4X = 720° – 180°


⇒ 3X = 540°


⇒ X = 180°


Therefore angle = 180°


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