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 \(AC\).


If you're interested, here is follow up question.
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