
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 a right triangle $ABC$ where angle $A$ at vertex $A$ is 90°, the bisectors of the exterior angles at $B$ and $C$ meet at point $D$. Find the measure of angle $BDC$.
A) \(120^\circ\)
B) \(135^\circ\)
C) \(150^\circ\)
D) \(180^\circ\)

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