MathNet 2019-part-01 — 184 problems (EN–VI) Question 33

Let $ABCDE$ be a convex pentagon having a circumcircle and satisfying $AB = BD$. The point $P$ is the intersection of the diagonals $AC$ and $BE$. The lines $BC$ and $DE$ intersect in point $Q$.
Show that the line $PQ$ is parallel to the diagonal $AD$.