
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 $\bigtriangleup ABC$, $E$ is a point on side $\overline{AC}$ such that $AE=EC$ and $\angle BEC = 50^\circ$. $BE$ bisects angle $B$. Determine the degree measure of $\angle AEB$.
A) 45°
B) 50°
C) 55°
D) 60°
E) 65°

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