Question

The angles of a triangle are in the ratio 1 : 2 : 3, find the measure of each angle of the triangle

Answer 1

The ratio of the angles of a triangle = 1 : 2 : 3.

Let the angles of a triangle be x, 2x and 3x.

x + 2x + 3x = 180° ...(Total angle of a triangle is 180°)

6x = 180°

x = `(180^circ)/6`

= 30°

x = 30°

2x = 2 × 30° = 60°

3x = 3 × 30° = 90°

Measures of the angles of a triangle = 30°, 60° and 90°.