The sum of the angle measures of a polygon with s sides is 2,340° . Find s.

The sum of the angle measures of a polygon with $s$ sides is $180(s-2)$ degrees. We have the equation \begin{align*}

180(s-2)&=2340\^\circ \quad\Rightarrow\quad s-2=13.
\end{align*} Hence $s=\boxed{15}$.