Q9 of 153 Page 113

Find the angle which is four times its complement.

72°


Let the angle = X


Complement of X = 90° – X


According to question,


⇒ X = 4(90° – X)


⇒ X = 360° - 4X


⇒ X + 4X = 360°


⇒ 5X = 360°


⇒ X = 72°


Therefore angle = 72°


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Find the angle whose supplement is four times its complement.