Question

If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2 :3 then find the measure of grater of two angle

Answer 1

we know sum of interior angle of the transversal of the same side is 180°

given ratio is 2:3
so let the sides be 2x and 3x.

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

this the greater side is 3×36=108