3 years ago

Please help! I don’t understand

Mathematics

1 answer:

Musya8 [376]3 years ago

7 0

Answer:

15.71 is the total answer after rounding off

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If an exterior angle of a regular polygon is 21.2° how many sides does the polygon have?

rosijanka [135]

$\bf \textit{sum of all exterior angles in a polygon}\\\\
n\theta =360\quad 
\begin{cases}
n=\textit{number of sides}\\
\theta =\textit{angle in degrees}\\
----------\\
\theta =21.2^o
\end{cases}\implies n21.2=360
\\\\\\
n=\cfrac{360}{21.2}\implies n\approx 16.981132\implies n\approx 17$

the reason why the value is not an integer, is most likely because the 21.2<span>° is just an approximation.</span>

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3 years ago

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Alex_Xolod [135]

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Answer:

Step-by-step explanation:

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