Question

One of the exterior angles of a triangle is 140° and interior opposite angles are in the ratio of 3:4. Find out the measure of both the interior opposite angles. Also, define the property used.

Answer 1

Answer:

exterior angle= 140°

opposite interior angle= 3:4

let the interior angle be 3x and 4x

then, 3x+4x= 140° ( exterior angle is equal to the interior angle of opposite sides)

7x=140°

X= 140/7

X = 20

So we have to put the value of X

3X = 3×20= 60

4X = 4×20= 80

Answer 2

Answer:

The property that opposite interior angle is equal to one exterior angle.

HOPE IT HELPS!!!