Question 22
The diagonal $AC$ convex quadrilateral $ABCD$ is the angle bisector of the $\angle DCB$. Let the $E$ be the intersection of the $AB$ side and the $ACD$ triangle outlined and let the $F$ be the intersection of the sides $AD$ and triangle $ABC$ outlined circles. Prove that the $AC$, $DE$ and $BF$ distances intersect at one point.