Find the measure of an angle which is 36° more than its complement.

Question

Find the measure of an angle which is 36&#xB0; more than its complement.

Philoid · Accepted Answer

63°

Let, measure of an angle = X

Complement of X = 90° – X

According to question,

⇒ X = (90° – X) + 36°

⇒ X + X = 90° + 36°

⇒ 2X = 126°

⇒ X = 63°

Therefore measure of an angle = 63°