The angle sum of a polygon of n sides is actually $\displaystyle \begin{align*} (n-2)\,180^{\circ} \end{align*}$. The only way your angle sum can be $\displaystyle \begin{align*} 360^{\circ} \end{align*}$ is if your polygon is a quadrilateral.
The angle sum of a polygon of n sides is actually $\displaystyle \begin{align*} (n-2)\,180^{\circ} \end{align*}$. The only way your angle sum can be $\displaystyle \begin{align*} 360^{\circ} \end{align*}$ is if your polygon is a quadrilateral.