Question

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?

Answer 1

`(180(n-2))/(n)`

Step-by-step 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:

`180(n-2)`

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:

`(180(n-2))/(n)`

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