Question

(9) If an angle is 26° greater than its supplement, find the measure of the angle.

Answer 1

Answer: 103°

Explanation:

Let the angle be x

Angle 26° greater than x is x + 26

sum of two supplementary angles is 180°

Now,

x + x + 26 = 180

⇒ 2x + 26 = 180

⇒ 2x = 154

⇒ x = 77

So required angle = 77 + 26 = 103°