Triangle With Squares!Geometry Level 4
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 \(AC\).