IP2U14 HOT Q2

\(P\), \(Q\) and \(R\) are points that lie on a circle. The tangent to the circle at \(R\) meets the line \(PQ\) produced at \(S\). Point \(X\) is on the line \(PQ\) such that \(RX\) bisects \(\angle PRQ\). Prove that \(RS=XS\).