# Triangle With Squares!

Geometry Level 3

Given a triangle $$ABC$$, construct two squares $$ABPQ$$ and $$ACRS$$. Suppose that $$M$$ is the midpoint of $$PR$$. Join $$MB$$ and $$MC$$. Find $$\angle BMC$$.

Details and Assumptions:

• $$P$$ and $$C$$ are on opposite side of $$AB$$.

• $$R$$ and $$B$$ are on opposite side of $$AC$$.

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