Question

if angles of triangle are in ratio 2:3:4 find value of each angle

Answer 1

Hey friend here is your answer

Let common multiple be x.

2x + 3x + 4x = 180

Angle sum property of traingle.

5x + 4x = 180

9x = 180

x = 180÷9

x = 20

Therefore angles are

20 × 2 = 40
20 × 3 = 60
20 × 4 = 80

Hope it helps you.

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Answer 2

Let us take each angle to be 2x, 3x and 4x.

2x + 3x + 4x = 180° (All angles of a triangle add up to 180°)

9x = 180°

x = 180°/9

x = 20°

Therefore each angle of the triangle:

2x = 2*20° = 40°

3x = 3*20° = 60°

4x = 4*20° = 80°

Hope it helps :)