Question

Two supplementary angles are in the ratio 2:3,find the measure of each angle

Answer 1

let the angles be 2x and 3x
ATQ,
2x+3x = 180
5x = 180
x = 180/5 = 36°
so,
the angles are 72° and 108°

Answer 2

Supplementary angles means their sum must be 180°.
Let the two angles be 2x and 3x.
A/Q, 2x+3x = 180°
⇒ 5x = 180°
⇒ x = 36°

∴ 2x = 2x36° = 72° and 3x = 3x36° = 108°

Hope it helps. Thank you. :)