Question

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

Answer 1

Step-by-step explanation:

let the three angles be 2x, 3x and 4x

we know,

sum of all angles of a triangle = 180°

.

. . 2x + 3x + 4x = 180°

=> 9x = 180°

=> x = 180° ÷ 9

=> x = 20°

now,

values of all three angles,

2x = 2 x 20° = 40°

3x = 3 x 20° = 60°

4x = 4 x 20° = 80°