Question

Three angles which add up to 180° are in the ratio 2 : 3 : 7. Find them.

Answer 1

Ratio of three angles = 2 : 3 : 7

Let first angle be = 2x

second angle = 3x

and third angle = 7x

∴ 2x + 3x + 7x = 180°

⇒ 12x = 180°

⇒ x = `(180°)/12` = 15°

∴ First angle = 2x = 2 × 15° = 30°

second angle = 3x = 3 × 15° = 45°

and third angle = 7x = 7 × 15° = 105°

Hence, the angles are 30°, 45° and 105°