Question 7
Let $ABCD$ be a convex quadrilateral. We are given two points $E, F$ such that $E, B, C, F$ are collinear in this order. Assume moreover that $\widehat{BAE} = \widehat{CDF}$ and $\widehat{EAF} = \widehat{FDE}$. Prove that $\widehat{FAC} = \widehat{EDB}$.