Question 64
Let $A B C D E$ be a convex pentagon. If $\alpha=\angle D A C$, $\beta=\angle E B D$, $\gamma=\angle A C E$, $\delta=\angle B D A$, and $\epsilon=\angle B E C$, as shown in the picture, calculate the sum $\alpha+\beta+\gamma+\delta+\epsilon$.
