Question

one of the exterior angle of a triangle is x° the interior opposite angles are in the ratio 4:3 and third angleis 61° find the angles of a triangke and x°

Answer 1

We know that the exterior angle of a triangle is equal to sum of interior opposite angles.
Let the coefficient be y.
Interior opposite angles = 4y and 3y.
So, 4y +3y = x.............(I)

And, as per the question,
third angle = 61°
So, x° = 180-61 = 119°

By putting the value of x in equation (I) ,
7y = 119
y = 17.
So, Angles will be 17×4 = 68° and 17×3= 51° and x is already 119°.

Hope it will help you .....