Question

the measures of the angles of a triangle are in the ratio of 2:3:4.find the measures of the three angles of the triangle

Answer 1

take ratio as X
2x,3x&4x
2x+3x+4x=180(angle sum prop)
9x=180
X=20

2x=2×20=40
3x=3×20=60
4x=4×20=80

Answer 2

Let the common factors of the angles of the triangle be x.

The sum of 3 angles of Triangle = 180°

∴ 2x +3x+4x= 180°

⇒9x = 180°⇒x = 20

2x = 40°

3x=60°

4x= 80°