Question

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

Answer 1

In figure, l || m and p is transversal
$\therefore \angle 1+\angle 2={180}^0$
But $\angle 1:\angle 2=2:3$
$\therefore$ Larger angle $\angle 2=\frac{3}{2+3}\times {180}^0$
=$\frac{3}{5}\times {180}^0={108}^0$