Question 147
The triangle $ABC$ is isosceles in $C$, and let its circumference be $\Gamma$. Let $M$ be the midpoint of the $BC$ of $\Gamma$ which does not contain $A$, and let $N$ be the point where the parallel to $AB$ by $M$ re-cuts to $\Gamma$. $AN$ is known to be parallel to $BC$. What are the measurements of the angles of $ABC$?