Question

The three angles of a triangles are in the ratio 2:3:4 find angles of triangles​

Answer 1

Answer:

Step-by-step explanation:

Let’s assume a triangle ABC with angles, <A, <B and <C.

Given, <A : <B : <C is equal to 2:3:4, let’s assume the values of angles as,

<A = 2x

<B = 3x

<C = 4x,

x is a whole number. You can see that we have taken the values of angles such that they are still in the ratio 2:3:4.

Now, we know that the sum of all the angles of a triangle is 180°.

So, in triangle ABC

<A + <B + <C = 180°

Putting values of angles,

2x + 3x + 4x = 180°

9x = 180°

x = 180°/9

x = 20°

So, angles are as follows,

<A = 2(x) = 2(20°) = 40°

<B = 3(x) = 3(20°) = 60°

<C = 4(x) = 4(20°) = 80°

Answer 2

Step-by-step explanation:

Angle of triangle are in ratio

2:3:4

Let angle of triangle are 2x,3x,&

4x then

2x+3x+4x=180

∘

[angle sum property]

9x=180

∘

[x=20

∘

]

then angle od trianle are =2x=40

∘

=3x=60

∘

=4x=80

∘

This triangle is angled triangles.