Find the measure of an angle, if seven times its complement is 10° less than three times its supplement.

Question

Find the measure of an angle, if seven times its complement is 10&#xB0; less than three times its supplement.

Philoid · Accepted Answer

25°

Let the measure of an angle = X

Complement of X = 90° – X

Supplement of X = 180° – X

According to question,

⇒ 7(90° – X) = 3(180° – X) - 10°

⇒ 630° – 7X = 540° – 3X - 10°

⇒ – 7X + 3X = 540° – 10° – 630°

⇒ - 4X = 100°

⇒ X = 25°

Therefore measure of an angle = 25°