Question

the angle of a triangle are on ratio 2:3:4. find measure all the angle of triangle

Answer 1

Let the common multiple of the angles be x.
Therefore, the angles will be 2x, 3x & 4x.

2x+3x+4x = 180°
9x = 180°
x = 20°

So, the angles are
2x = 2x20° = 40°
3x = 3x20° = 60 °
4x = 4x20° = 80°

Answer 2

Let x be the measure of the angle

2x + 3x + 4x = 180

9x = 180

x = 180/9

x = 20

Now,

2x = 2*20=40

3x = 3*20=60

4x = 3*20= 80