
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 the interior of an equilateral triangle  $ ABC $  a point  $ P $  is chosen such that  $ PA ^2 = PB ^2 + PC ^2 $ . Find the measure of  $ \angle BPC $ .

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