Q. 12

# 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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