Question

the angles of a triangle are in the ratio 2:3:4 find the angles .with steps​

Answer 1

answer :

40,60,8p

step by step explanation: .

So let us consider the angles as 2x,3x and 4x.

2x+3x+4x=9x

Angle sum of triangle is 180

so 9x=180 or x= 9

180=20

∴,2x=2×20=40

3x=3×20=60

and 4x=4×20 =80

∴ the angles are 40 ,60,80

∘

Answer 2

It is given that the angles of a triangle are in the ratio of 2:3:4

We have to find each angle

Let us assume the angles as 2x, 3x, and 4x

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

So, 2x + 3x + 4x = 180°

                     9x = 180

                       x = 180 / 9

                      x = 20

Therefore,

2x = 2 × 20

   = 40

3x = 3 × 20

    = 60

4x = 4 × 20

    = 80

40 + 60 + 80 = 180

Hence, the three angles will be 40°, 60°, and 80°