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

Given :

The angles of a triangle are in the ratio 2:3:4.

To do :

Let the angles of the triangles be 2x,3x, and 4x.

Solution :

We know that,

The sum of the angles in a triangle is 180°.

Therefore,

$2x+3x+4x = 180°$

$9x = 180°$

$x = \frac{180°}{9}$

$x = 20°$

The angles of the given triangle are $2(20)° = 40°, 3(20)° = 60° and 4(20)° = 80°$.

Therefore, the angles of the triangle are 40°, 60°, 80°.