Question

one of the exterior angles of triangle is 100°. The interior opposite angles are equal to each other. Find the measure of these equal interior opposite angles.

Answer 1

Since we know that sum of 2 opposite interior angles is equal to exterior angle.
So, let one int. angle=x
& other int. angle=x
So, x+x= 100
2x=100
x=100/2
x=50
Therefore, each interior angle = 50°

Answer 2

as per the law

given,interior angles are equal

external angle=sum of two interior angles

100=x+x

100=2x

x=50

therefore, these interior angles are 50, 50