Question

if 2 interior angles on the same side of the transversal intersecting 2 parallel lines are in the ratio of 2 is to 3, then larger of the 2 angles is

Answer 1

we know sum of the angles on the same side of the transversal line is 180°

now the ratio given=2:3
thus the sides are 2x and 3x.

hence,
2x+3x=180
x=36

Thus the greater side is 3×36=108°