Question 8
In the acute triangle $ABC$, $BH$ is the altitude from $B$, $D$ and $E$ are all the midpoints of $AB$ and $AC$ respectively. Let $F$ be the reflection of $H$ across $DE$. Suppose $\angle C=40^\circ$ and $\angle FAH=35^\circ$. Find the size of $\angle A$ in degrees.