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

Respuesta :

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[tex]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.[/tex]

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