Question

The ratio of interior angles of triangle is 3:2 and their opposite exterior angle is 150 degree. What is the measure of each exterior angle

Answer 1

hola

let the first interior angle be 3x
second interior angle be 2x

exterior angle=sum of the two interior angles
150=3x+2x
3x+2x=150
5x=150
x=150/5
x=30

hence,
first interior angle=3x=3*30=90°
second interior angle=2x=2*30=60°

Answer 2

let the ratio of interior angle be 2x 3x
the opposite exterior angle =150
A/Q
5x=150
x=30
2x=2×30=60
3x=3×30=90ans