
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 that in triangle \(\triangle ABC\), the external angle bisectors of \(\angle B\) and \(\angle C\) intersect at point \(D\), find the measure of \(\angle BDC\).

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