Question

one of the exterior angles of a triangle is 112° and the corresponding interior opposite angles are in the ratio 3:4 find the angles of the triangle​

Answer 1

Answer:

In a triangle, the magnitude of an exterior angle, is equal to the sum if opposite two interior angles.

Let the interior angles be 3x and 4x, respectively.

Now, 3x+4x= 112°

=7x=112°

=x=112/7

=16°

3x= 16°×3

=48°

4x=16°×4

=64°