Q11 of 153 Page 113

Find the angle whose supplement is four times its complement.

60°


Let the angle = X


Complement of X = 90° – X


Supplement of X = 180° – X


According to question,


⇒ 180° – X = 4(90° – X)


⇒ 180° – X = 360° – 4X


⇒ – X + 4X = 360° – 180°


⇒ 3X = 180°


⇒ X = 60°


Therefore angle = 60°


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