
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 $ABCD$, let the bisectors of the exterior angles at $A$ and $C$ meet at a point $E$. If all angle measurements are in degrees, what is $\angle AEC$?
**A)** $\frac{360^\circ - B}{2}$
**B)** $\frac{360^\circ - (B + D)}{2}$ 
**C)** $180^\circ - \frac{A+C}{2}$
**D)** $90^\circ$

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