Question

If an exterior angle of a triangle measure 120 degree and its interior opposite angles are in ratio 7 ra tio 5 find the angles of the triangle

Answer 1

ANSWER :

Let the interior opposite angles be

7x & 5x respectively.

But we know that ext. angle is equal to sum of int. opposite angles

Therefore, 7x + 5x = 120°

=> 12x = 120°

=> x = 10°

Therefore the angles are :

7x = 7*10 = 70°

5x = 5*10 = 50°

Finding the third angle :

Third angle = 180°-(70°+50°)

Third angle = 60°

70°, 50° & 60° are the angles of the triangle.

Hope this helps you mate☺☺