# 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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