
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
As shown in the diagram, the rectangle $A B C D$ is folded along the line segment $D E$ to form the hexagon $E B C F G D$. If $\angle G D F = 20^{\circ}$, then $\angle A E D$ is ______.

Present the answer in LaTex format: \boxed{Your answer}
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