Work out the number of sides of a regular polygon with the interior angle of 172 degrees.

1 answer:

8 0

$interior\ angle=\frac{(n-2)*180}{n}\\n-number\ of\ sides\\\\
172=\frac{(n-2)*180}{n}\ \ \ |*n\\
172n=180n-360\ \ \ |Subtract\ 180n\\
-8n=-360\ \ \ |Divide\ by\ -8\\
n=45\\\\
Number\ of\ side\ is\ equal\ to\ 45.$

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