Question 11
Sean $A$, $B$ adjacent vertices of a $n$-regular agone $(n \geq 5)$ of the plane that has center on $O$. A triangle $XYZ$ that is consistent with $OAB$ and initially matches it, moves in the plane so that $Y$ and $Z$ describe the boundary of the Polygon, leaving $X$ inside. Find the geometric place of $X$.