
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 square $ABCD$, let $E$ be a point on the extension of side $DC$ such that $DE = DC$ and $\angle CDE = 100^\circ$. Let $F$ be the midpoint of segment $AD$. Determine the angle $\angle AFE$.
A) $80^\circ$
B) $85^\circ$
C) $90^\circ$
D) $95^\circ$
E) $100^\circ$

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