Pre-RMO 2014/16

In a triangle \(ABC\), let \(I\) denote the incenter. Let the line \(AI, BI\) and \(CI\) intersect the incircle at \(P, Q, \) and \(R\), respectively. If \(\angle BAC = 40^\circ\), what is the value of \(\angle QPR\) in degrees.

This note is part of the set Pre-RMO 2014

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Pre-RMO 2014/16

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