Question

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

Answer 1

Let the angles of triangle be x.

2x+3x+4x = 360°

9x = 360°

x = 360°/9

x = 40°

2x = 2*40 = 80°

3x = 3*40 = 120°

4x = 4*40 = 160°

Answer 2

Answer:

Explanation:

Angle sum property of a triangle is 180degrees. It is given that the angles are in the ratio 2:3:4.

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  

∘