
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 \(ABCD\) be a square and \(E\) be the point on segment \([BD]\) such that \(EB = AB\). Define point \(F\) as the intersection of lines \(CE\) and \(AD\). Find the value of angle \(\widehat{FEA}\).

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