The diagonals of a trapezoid
intersect at point
. Point
lies between the parallel lines
and
such that
, and line
separates points
and
. Prove that
.
Author: unknown author, Ukraine
%V0
The diagonals of a trapezoid $ABCD$ intersect at point $P$. Point $Q$ lies between the parallel lines $BC$ and $AD$ such that $\angle AQD = \angle CQB$, and line $CD$ separates points $P$ and $Q$. Prove that $\angle BQP = \angle DAQ$.
Author: unknown author, Ukraine
Školjka