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

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°.