
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 $\triangle ABC$ where $\overline{BE}$ bisects $\angle ABC$ externally and $\angle BAC$ is extended to point $D$ such that $\angle DBC = 90^\circ$, determine the expression for $\angle EBD$ using $\angle BAC = a$ and $\angle BCA = c$.
A) $180^\circ - a$
B) $180^\circ - c$
C) $90^\circ - a$
D) $\frac{a + c}{2}$

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