1.

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

Answer»

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°.


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