Find the measure of an angle which 25°less than its supplement.

Question

Find the measure of an angle which 25&#xB0;less than its supplement.

Philoid · Accepted Answer

(77.5)°

Let, measure of an angle = X

Supplement of X = 180° – X

According to question,

⇒ X = (180° – X) - 25°

⇒ X + X = 180° - 25°

⇒ 2X = 155°

⇒ X = (77.5)°

Therefore measure of an angle = (77.5)°