How many sides does a regular polygon have if each interior angle measures 162 degrees.

Moksha asked Nov 15, 2023

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20 votes

Moksha asked Nov 15, 2023

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6 votes

The number of sides of the polygon is denoted by n

.Then we have the relation

On solving this,

Then,

$\begin{gathered} 180n-162n=360 \\ 18n=360 \\ n=(360)/(18) \\ n=20 \end{gathered}$

Hence the number of sides is 20.

Monyag answered Nov 20, 2023

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