Question

If a transversal intersects two lines such that the interior angles on the same side of the transversal are in the ratio 2 : 3. Then the largest angle is ..​

Answer 1

The angles on the same side of transversal are also called as co-interior angles . Such angle are always supplementary ( sum = 180° )

let 1st angle be 2x

let 2nd angle be 3x . Then,

2x + 3x = 180°

5x = 180°

x = 180/5

x = 36

then 2x = 2 × 36 = 72°

and 3x = 3 × 36 = 108°

So , the largest angle is 108°