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The measures of the interior angles of four regular polygons are shown below. Which expression best represents the measure in degrees of the interior angle of a regular polygon having n sides?

The measures of the interior angles of four regular polygons are shown below Which expression best represents the measure in degrees of the interior angle of a class=

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ANSWER

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

EXPLANATION

We want to find the expression that best represents the measure of the interior angle of a regular polygon with n sides.

The general formula for finding the total angle in a regular n sided polygon is given as:

[tex]180(n-2)[/tex]

Therefore, to find the measure of each interior angle of the polygon, we have to divide the total angle by the number of sides.

That is:

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

Hence, that is the expression that best represents the measure in degrees of the interior angle of a regular polygon having n sides.

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