Question

the 3 angles of a triangle are in the ratio 2:3:4. find the ratio between the exterior angles of the triangle ​

Answer 1

Step-by-step explanation:

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

And Sum of all interior angles of a triangle is 180°.

2x + 3x + 4x = 180°

=> 9x = 180°

=> x = 20°.

So all interior angles are 40° , 60° , 80°.

Hence exterior angles are sum of 2 internal angles.

40° + 60° = 100° , 60° + 80° = 140° , 80° + 40° = 120°.

Answer 2

Answer:

the exterior angles are 40,60,80

Step-by-step explanation:

Angle of triangle are in ratio

2:3:4

Let angle of triangle are 2x,3x,&

4x then

2x+3x+4x=180∘

[angle sum property]

9x=180∘

[x=20∘]

then angle od trianle are =2x=40∘

=3x=60∘

=4x=80∘

This triangle is angled triangles.