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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