Question

one of the exterior angles of a triangle is 100 degrees and the interior opposite angles are is the ratio 2:3 . find the angles of the triangle ?

Answer 1

The exterior angle of triangle is sum of two interior opposite angles.

Let the interior angles be 2x and 3x

So
2x+3x=100°
5x=100°
x=20°

so angles are 40° and 60°

Answer 2

let the two interior angle be 2x and 3x
Now we know that an exterior angle is always equal to sum of interior opp angle
therefore 2x+3x=100
5x=100
x = 20
thus req angles are
40,60,80