BdMO 2017 National Round Secondary 9
Posted: Fri Feb 10, 2017 9:24 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 $\angle AEB$?