Question

one of the exterior angles of a triangle is 125 degrees from the interior opposite angles are in the ratio 2 is to 3 find the angles of the triangle

Answer 1

Exterior angle  = 125,    opposite interior angles ratio = 2:3

exterior angle = sum of interior opposite angles

2x + 3x  = 125

5x = 125

x = 125/5 = 25

So interior angles are  2x, 3x  =  50, 75

and third angle = 180-125 = 55

Angles of triangle are  50, 75, 55  degrees