Question

if two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2:3,then the smaller of two angles is

Answer 1

A = 2x.
B = 3x.

A + B = 180 deg.
2x + 3x = 180,
5x = 180,
x = 36,
2x = 2*36 = 72 = A = Smaller angle.