The ratio of two supplementary angle is 2 : 3, then find the angle.

Let the two supplementary angles be 2x and 3x.

We know that the sum of two supplementary angles is 180°.

∴ 2x+3x = 180°

⇒ 5x = 180° ⇒ x=180/5=36°

So, one angle = 2 x 36° = 72°

and its supplementary angle = 3 x 36° = 108°

Hence, two supplementary angles are 72° and 108°.