Question

Find the measure of smallest and largest angles of triangle whose ratio of angles is 2:3:4

Answer 1

let the angles of triangle be 2x, 3x, 4x
2x+3x+4x=180(angle sum property of triangle)
9x=180
x=180\9
x=20
2x=40
3x=60
4x=80

Answer 2

Let the angles be taken as x.

Therefore,
2x+3x+4x=180°
⇒9x=180°
⇒x=180°÷9
=20°

Therefore the angles are as follows:
2x=2×20=40°
3x=3×20=60°
4x=4×20=80°

The largest angle is angle 4.
The smallest is angle 2.