
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 $\measuredangle A=100^\circ$. Point $D$ is the midpoint of side $BC$, and points $E$ and $F$ lie on sides $AC$ and $AB$, respectively, such that $CE=ED$ and $BF=FD$. Find $\measuredangle EDF$.
A) $120^\circ$
B) $130^\circ$
C) $140^\circ$
D) $150^\circ$
E) $160^\circ$

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