
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
Given that vertices $A, B, C, D$ form square $ABCD$, point $E$ is located outside of $ABCD$ such that $\angle CDE = 125^\circ$, and point $F$ lies on diagonal $\overline{AC}$ such that $DF = DE$, determine the degree measure of $\angle AFE$.

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