Question

if angles of the triangle are in rhe ratio of 2:3:4. find the value of each angle​

Answer 1

Answer :-

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

Step-by-step explanation:

To Find :-

• The measure of the triangles

Solution:

Given that,

• The angles of traingle are in the ratio of 2:3:4

Assumption:

Let us assume all the unknown ratio angles of triangle as 2x, 3x and 4x.

As we know that,

Sum of all interior angles of triangle = 180°,

Therefore,

• 2x + 3x + 4x = 180°

=> 2x + 3x + 4x = 180

=> 5x + 4x = 180

=> 9x = 180

=> x = 180/9

=> x = 20

The value of x is 20. Now, The angles of triangle are :-

The angle which we assumed as 2x,

=> 2x

=> 2*20

=> 40°

The angle which we assumed as 3x,

=> 3x

=> 2*30

=> 60°

The angle which we assumed as 4x,

=> 4x

=> 4*20

=> 80°

Hence,

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

Answer 2

let the required angles be 2x,3x,4x

2x+3x+4x=180 degree (angle sum property)

9x=180

x=180/9

x=20

2x=2×20=40 degree

3x=3×20=60 degree

4x=4×20=80 degree