BDMO 2017/09
Posted: Wed May 10, 2017 1:44 pm
In a cyclic quadrilateral $ABCD$ with circumcenter $O$, the lines $BC$ and $AD$ intersect at $E$. The lines $AB$ and $CD$ intersect at $F$. A point $P$ satisfying $\angle EPD = \angle FPD = \angle BAD$ is chosen inside of $ABCD$. The line $FO$ intersects the lines $AD, EP, BC$ at $X,Q,Y$ respectively. Also $\angle DQX = \angle CQY$. What is the angle $\angle AEB?$