Question

Find the angles of a triangle are in the ratio 2:3:4​

Answer 1

Answer:

40°,60°,80°.

I hope it will help you

Answer 2

Answer:

Therefore, the angles are 40°, 60° and 80°.

Step-by-step explanation:

Let the angles be x.

So according to the given ratio, we obtain the angles as,

∠1 = 2x, ∠2 = 3x and ∠3 = 4x

We know that,

Sum of all the angles of a triangle is 180°.

∴ ∠1 + ∠2 + ∠3 = 180°

∴ 2x + 3x + 4x = 180°

9x = 180°

$\large{\bold{\mathsf{\purple{\boxed{x = 20°}}}}}$

Substituting the value of x in the angles,

∴ ∠1 = 2x = 2(20°) = 40°

∠2 = 3x = 3(20°) = 60°

∠3 = 4x = 4(20°) = 80°

Therefore, the angles are 40°, 60° and 80°.