Measure the angle!

Geometry Level 4

A point \(P\) lies in a triangle \(ABC\). The edge \(AC\) meets the line \(BP\) at \(Q\), and \(AB\) meets \(CP\) at \(R\). Suppose that \(AR = RB = CP\) and \(CQ = PQ\). Find the value of \(\angle BRC\) in degrees.

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