showboyshawn2000 showboyshawn2000
  • 18-10-2018
  • Mathematics
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What is the measure of each exterior angle for a regule nonagon

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jdoe0001 jdoe0001
  • 18-10-2018

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


[tex]\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[/tex]

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