Find the angle whose complement is four times its supplement.

Question

Philoid · Accepted Answer

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°