Two supplementary angles are in the ratio 3:2 Find the angles.

Question

Philoid · Accepted Answer

108°, 72°

Let angle = X

Supplementary of X = 180° – X

According to question,

X : 180° – X = 3 : 2

⇒ X / (180° – X) = 3 / 2

⇒ 2X = 3(180° – X)

⇒ 2X = 540° – 3X

⇒ 2X + 3X = 540°

⇒ 5X = 540°

⇒ X = 108°

Therefore angle = 108°

And its supplement = 180° – 108° = 72°