
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
Given $\triangle ABC$ where $\overline{BD}$ bisects $\angle B$, $AC$ is extended to point $E$, and $\angle EBC$ is a right angle. Determine $\angle AED$ in terms of $\angle A$ and $\angle C$.
A) $\frac{a + c}{2}$ \\
B) $180^\circ - \frac{a}{2}$ \\
C) $180^\circ - \frac{a + c}{2}$ \\
D) $\frac{a + c}{2} - 90^\circ$

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