Question

One of the exterior angles of a triangle is 140 degree and the interior opposite angles are the ratio are 2:5.These interior angles are _____________

Answer 1

sum of interior alternate angles =exterior angle

2x+5x=140

7x=140

x=20

interior=2x=2×20=40

             5x=5×20=100

Answer 2

Hey friend, Here is your answer-

Let the measure of interior angle is x.

Therefore the interior angles are 2x and 5x.

By using Remote interior angle theorem,
2x + 5x = 140
7x = 140
x = 20

Therefore the measure of interior angle is 20°

Hope it will help you.