Question

angles of the triangle is in ratio 2:3:4 find all the angles of the triangle​

Answer 1

Answer:

It is given that the angle of triangle are in the ratio 2 : 3 : 4. Let the angles are 2x, 3x and 4x.

According to the angle sum property, the sum of interior angles of a triangle is 180 degree.

2x+3x+4x=1802x+3x+4x=180

9x=1809x=180

x=20x=20

The value of x is 20.

2x=2(20)=402x=2(20)=40

3x=3(20)=603x=3(20)=60

4x=4(20)=804x=4(20)=80

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

Answer 2

Answer:

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

Step-by-step explanation:

Given -

Angles of the triangle is in ratio 2:3:4

To find -

All the angles of the triangle​

Solution -

Let, The angles of the triangle are 2x, 3x and 4x .

As we know that,

Sum of all angles of triangle is 180° .

∴ $2x+3x+4x= 180$°

$9x= 180$

Divide both side by 9 we get

$x= 20$

The angles of the triangle are

$2x= 2\times20=40$°

$3x= 3\times20=60$ °

$4x = 4 \times 20 = 80$°

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