Question

Two supplementary angles differ by 48°. Find the angles.

Answer 1

Given that two supplementary angles are differ by 48°

Let the angle measured is x°

∴ Its supplementary angle will be (180 - x)°

It is given that

(180 - x) - x = 48°

⇒ 180 - 48° = 2x

⇒ 132 = 2x

⇒ x = `132/2`

⇒ x = 66°

⇒ y = 180 - x 

⇒ y = 180 - 66

⇒ y = 114°

Therefore, angles are 66° and 114°.