
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 $ABC$, a point $E$ lies on side $\overline{BC}$ such that $BE=EC$, and point $F$ lies on $\overline{AC}$ such that $\overline{BF}$ is the angle bisector of $\angle ABC$. If the measure of $\angle ABC = 90^\circ$, calculate the measure of $\angle BFE$.
A) $65^\circ$
B) $67.5^\circ$
C) $70^\circ$
D) $72.5^\circ$

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