Question 68
Let $I$ be the incenter of triangle $A B C$ and $J$ the excenter of the side $B C$. Let $M$ be the midpoint of $C B$ and $N$ the midpoint of arc $B A C$ of circle $(A B C)$. If $T$ is the symmetric of the point $N$ by the point $A$, prove that the quadrilateral $J M I T$ is cyclic.