2. As shown in Figure 2, in parallelogram $A B C D$, $\angle A B C=72^{\circ}, A F \perp B C$ at point $F, A F$ intersects $B D$ at point $E$. If $D E=2 A B$, then $\angle A E D=$ $\qquad$ .
2. $66^{\circ}$.

As shown in Figure 5, take the midpoint $M$ of $DE$, and connect $AM$.