IR-TST 2010 Problem 5

Circles $W_1,W_2$ intersect at $P,K$ . $XY$ is common tangent of two circles which is nearer to $P$ and $X$ is on $W_1$ and $Y$ is on $W_2$ . $XP$ intersects $W_2$ for the second time in $C$ and $YP$ intersects $W_1$ in $B$ . Let $A$ be intersection point of $BX$ and $CY$ . Prove that if $Q$ is the second intersection point of circumcircles of $ABC$ and $AXY$ $$\angle QXA=\angle QKP$$