
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 triangle $ABC, AB=AC$ and $\measuredangle A=70^\circ$. If points $D, E$, and $F$ lie on sides $BC, AC$ and $AB$, respectively, and $CE=CD$ and $BF=BD$, then find the measure of $\measuredangle EDF$.
A) $45^\circ$
B) $50^\circ$
C) $55^\circ$
D) $60^\circ$
E) $65^\circ$

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