# Focusing on Incenters #2

Geometry Level 4

Suppose that $$\triangle ABC$$ has incenter $$I$$ and that $$BI, \ CI$$ meet $$AC, \ AB$$ at $$D, \ E$$ respectively. Suppose further that the bisector of $$\angle BIC$$ meets $$BC, \ DE$$ at $$P, \ Q$$ respectively, and that $$PI = 2QI$$. Find the value of $$\angle BAC$$ in degrees.

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