Question

If the angles of a triangle are in the ratio 2:3:4 determine the three angles

Answer 1

let the angles be 2x°, 3x° and 4x°

Sum of all angles of a triangle = 180°

According to the question,

2x+3x+4x = 180
9x = 180
x = 180/9 = 20

The angles are
2x = 40°
3x = 60°
4x = 80°

Answer 2

Let the angles be 2x, 3x and 4x resp.

Now,

2x + 3x + 4x = 180

[sum of all angles in triangle is 180 degree]

9x = 180 degree

x = 20 degree

Therefore, the angles are -

2 ☓ 20 = 40°

3 ☓ 20 = 60 °

4 ☓ 20 = 80°