Question

The angles of a triangle are in the ratio 2 : 3 : 4. Find the angles of the triangle.

Answer 1

Given, ratio of angles is 2 : 3 : 4

Let the angles of the triangle be 2x, 3x and 4x.

So, 2x + 3x + 4x = 180°  ...[Sum of angles of triangle is 180°]

9x = 180°

x = `(180^circ)/9`

x = 20°

Therefore, 2x = 2 × 20° = 40°

3x = 3 × 20° = 60°

And 4x = 4 × 20° = 80°

Hence, the angle of the triangle are 40°, 60° and 80°.