3 years ago

What is the sum of measures of the exterior angles of a polygon that has fifteen sides

1 answer:

8 0

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

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