P is an interior point of an equilateral \Delta ABC so that, and BP and CP meet AC and AB at D and E respectively.
Suppose that PB : PC = AD : AE. Find \angle BPC.

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P is an interior point of an equilateral \Delta ABC so that, and BP and CP meet AC and AB at D and E respectively.
Suppose that PB : PC = AD : AE. Find \angle BPC.