
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 quadrilateral $ABCD$, angle $B$ and angle $C$ are bisected, and their bisectors meet at point $E$. The exterior angles at $B$ and $C$ are $130^\circ$ and $150^\circ$, respectively. Find angle $BEC$.
A) $130^\circ$
B) $140^\circ$
C) $150^\circ$
D) $160^\circ$

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