Question

In the figure, show that
AB ∥ CD​

Answer 1

Answer:

exterior angle Q =angle CQP

angle CQP+angle APQ

130+50

=180

sum of co enteior angle is 180 then AB is parallel to CD

Answer 2

Answer:

PQD+130 =180(linear pair property)

anglePQD =180-130

angle PQD=50

But Angle PQD=angle APQ (vertically opposite angle)

therefore AB parallel to CD