IP2U14 Exercise Q1

\(A\), \(M\), \(B\), \(C\) and \(N\) are points on a circle. \(BN\) and \(MC\), the angle bisectors of \(\angle ABC\) and \(\angle ACB\) respectively, intersect at \(P\). Prove that the point \(N\) is equidistant from \(A\) and \(P\).