
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
Let \( A, B, C, D, E, F, \) and \( G \) be points in the plane such that \( AB = BC = CD = DE = EF = FG = GA \) and the points \( A, B, F, D \) on one hand and \( A, G, C, E \) on the other hand are collinear. Calculate the angle \( \widehat{EAD} \).

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