Respuesta :

AnjulaReddy
Hey there!

Given , one exterior angle is 125°

Interior angles are in ration 2:3

Let the angles be 2x and 3x

Now , 125° = 2x + 3x

=> 5x = 125°

=> x = 125/5

=> x = 25°

Now the angles are ,

2x = 2(25)=50° &
3x = 3(25) = 75°

Hope this helps you :)
Have a good day :)
devishri1977

Answer:

Angles of the triangles are 55° , 50° , 75°

Step-by-step explanation:

Exterior angle property of triangle:

       The exterior angle of a triangle equals the sum of opposite interior angles.

 Ratio of interior opposite angle = 2 : 3

Interior opposite angles are 2x , 3x

2x + 3x = 125

        5x = 125

          x = 125/5

          [tex]\boxed{x = 25}[/tex]

2x = 2*25 = 50°

3x = 3*25 = 75°

Let the third angle of the triangle = y

Sum of all angles of triangle = 180

       50 + 75 + y = 180

               125 + y = 180

                        y = 180 - 125

                       y = 55°

Angles of the triangles are 55° , 50° , 75°