Find the measure of an angle which is (i) equal to its complement, (ii) equal to its supplement.

Question

Philoid · Accepted Answer

(i) 45°

Let, measure of an angle = X

Complement of X = 90° – X

Hence,

⇒ X = 90° – X

⇒ 2X = 90°

⇒ X = 45°

Therefore measure of an angle = 45°

(ii) 90°

Let, measure of an angle = X

Supplement of X = 180° – X

Hence,

⇒ X = 180° – X

⇒ 2X = 180°

⇒ X = 90°

Therefore measure of an angle = 90°