Question

The measure of three angles of a triangle are in the ratio 5 : 3 : 1. Find the measures of these angles.

Answer 1

Let measures of the given angles of a triangle be 5x, 3x and x.

∵ Sum of all the angles in a triangle = 180° 

∴ 5x + 3x + x = 180° 

⇒ 9x = 180°

⇒ x = `180^circ/9`

⇒ x = 20°

So, the angles are 5x = 5 × 20° = 100°, 3x = 3 × 20° = 60° and x = 20° i.e. 100°, 60° and 20°.