
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 a point \( P \) is on line \( BC \) such that \( BP = PC \). If \( \angle BAC = 80^\circ \), find the measure of \( \angle BPC \).
A) \(90^\circ\)
B) \(100^\circ\)
C) \(110^\circ\)
D) \(120^\circ\)

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