Answer :

We suppose we have a regular polygon with n sides, then the measure of each one of the interior angles is given by:

[tex]\frac{180(n-2)}{n}[/tex]

For example, if we want to know the measure of a regular pentagon (which has 5 sides), we replace the value of n by 5,

[tex]\frac{180(5-2)}{5}=\frac{180(3)}{5}=\frac{540}{5}=108[/tex]

And we obtain that each one of the interior angles of the pentagon is 108°.

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