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maxonik [38]
2 years ago
7

Find the measure of an exterior angle of a decagon

Mathematics
1 answer:
miv72 [106K]2 years ago
6 0

\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=10\end{cases}\implies 10\theta =360\implies \theta =\cfrac{360}{10}\implies n=36

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