
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
In the triangle $ABC$, angle $ABC = 36^\circ$. Points $D, E, F$ are on the sides $AC$, $AB$, and $BC$ respectively, such that $AD=DF=FE=EC$. What is the measure of $\angle AFE$?

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