Two supplementary angles are in the ratio 7 : 8. Find the angles.

Let angles be (7x)° and (8x)°

Supplementary angles sum = 180°

∴ 7x° + 8x° = 180°

⇒ 15x° = 180°

⇒ x° = $\dfrac{180^{\circ}}{15}$

⇒ x° = 12°

Angles:

(7x)° = (7 x 12)° = 84°

(8x)° = (8 x 12)° = 96°

Hence, the required angles are 84° and 96°.