Question

the angles of a triangle are in ratio 2:3:4 find the angles of the triangle​

Answer 1

Given,

Angles of triangle are in ratio 2:3:4

Sum of all angles in triangle is 180°

let the each ratio be x

According to the problem,

2x + 3x + 4x = 180°

9x = 180°

x = 180/9

x = 20°

The angles are :

2x = 2(20) = 40°

3x = 3(20) = 60°

4x = 4(20) = 80°

Therefore, the angles are 40; 60 and 80.

Answer 2

We know that,

Ratio of the angles of triangle = 2 : 3 : 4

The sum of angles in a triangle = 180°

Let the ratio be considered = 'x'

↓ According to the question ↓

2x + 3x + 4x = 180°

9x = 180°

x = 180/9

x = 20

Thus, The angles are:-

2x = 2(20) = 40°

3x = 3(20) = 60°

4x = 4(20) = 80°