Question

If angles of a triangle are in the ratio 2:3:4 , find the value of each angle.

Answer 1

The angles of a triangle a, b and c

a:b:c = 2:3:4

2x+3x+4x = 180(the sum of angles of a triangle is 180)

9x = 180

Therefore x = 20°

Angle a = 2×x = 40°

Angle b = 3×x = 60°

Abgle c = 4×x = 80°

Verification

40+60+80 = 180

Answer 2

Ratio = 2:3:4

Total ratio =2x +3x+4x =9x

Sum of the triangle = 180°

9x =180°

X=180°/9

X=20°

Therefore 2x =2×20=40°

3x=3×20=60°

4x=4×20=80°