[tex] \bf \textit{sum of all exterior angles in a polygon}\\\\
n\theta =360~~
\begin{cases}
n=\textit{number of}\\
\qquad sides\\
\theta =angle~in\\
\qquad degrees\\[-0.5em]
\hrulefill\\
n=15
\end{cases}\implies 15\theta =360\implies \theta =\cfrac{360}{15}\implies n=24 [/tex]
