
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, $AB = AC$ and point D is on side BC such that BD = DC. Let $P$ be a point on AD such that AP = PD. If $\angle APB = 100^\circ$, find $\angle BPC$.
A) 150°
B) 160°
C) 170°
D) 180°

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