Question

If the angles of a triangle are in the ratio of 2:3:4,
determine the three angles​

Answer 1

Answer: let the angles of the triangle be x

then 2x + 3x + 4x

By angle sum property of triangle,

2x + 3x + 4x = 180°

9x = 180°

x = 180/9

∴ x = 20

All the angles are : 2x = 2 × 20 = 40°

3x = 3 × 20 = 60°

4x = 4 × 20 = 80°

∴ 40°, 60° and 80° are the angles of the triangle.

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Answer 2

Step-by-step explanation:

Angles are in ratio of 2x:3x:4x

Sum of angle of triangle =180°

2x+3x+4x=180°

9x=180°

X=180°\9

x=20°

Put the value of x,

<1 =2×20°=40°

<2=3×20°=60°

<3=4×20°=80°