Question

in the given figure PQ is a transversal intersecting two lines ab and CD find the measure of angles X and Y then prove that AB is parallel to CD​

Answer 1

y=130° (Vertically opposite angle)

x=y=130° (Alternate interior angle)

Answer 2

Answer:

x+50°=180°(linear pair)

x=130°

y=130°(vertically opposite angles)

But x and y are alternate angles

As alternate angles are equal lines are parallel

Therefore,AB is parallel to CD