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![\bf \textit{sum of all interior angles in a regular polygon}\\\\ n\theta =180(n-2)~~ \begin{cases} n=\textit{number of sides}\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ n=9 \end{cases}\implies 9\theta =180(9-2) \\\\\\ 9\theta =1260\implies \theta =\cfrac{1260}{9}\implies \theta =140](/tpl/images/0328/8480/5c9c7.png)
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