What is the measure of each exterior angle for a regule nonagon

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asked Jun 5, 2019 25.3k views

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What is the measure of each exterior angle for a regule nonagon

Mathematics
middle-school

Michael Garner asked

by Michael Garner

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bearing in mind that a NONA=9 gon, is a 9-sided polygon, thus

$\bf \textit{sum of all exterior angles in a polygon}\\\\n\theta = 360~~\begin{cases}n=number~of\\\qquad sides\\\theta =angle~in\\\qquad degrees\\[-0.5em]\hrulefill\\n=9\end{cases} 9\theta =360\implies \theta =\cfrac{360}{9}\implies \theta =40$

Amitesh Kumar answered Jun 9, 2019

by Amitesh Kumar

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