6. (5 points) As shown in the figure, rectangle $A B C D$ is folded along line segment $D E$, resulting in hexagon $E B C F G D$. If $\angle G D F=20^{\circ}$, then $\angle A E D=$ $\qquad$
【Answer】Solution: $\angle A D E=(90+20) \div 2=55$ (degrees), $\angle A E D=180-90-55=35$ (degrees)

Answer: $\angle A E D=35^{\circ}$; hence the answer is: 35 .