Question

Find the measures of the interior angles of the regular polygon

Answer 1

You need to identify that number of sides of the polygon. In this case it has 12 sides.

In order to find the measure of the interior angles of a polygon, you can use the formula shown below:

$InteriorAngle=\frac{180(n-2)}{n}$

Where "n" is the number of sides of the polygon.

In this case you know that:

$n=12$

Finally, substituting the value of "n" into the formula and evaluating, you get the following result:

$\begin{gathered} InteriorAngle=\frac{180(12-2)}{12} \\ \\ InteriorAngle=\frac{1800}{12} \\ \\ InteriorAngle=150\degree \end{gathered}$

Since it is regular, all the interior angles have equal measure.

Therefore, the answer is:

$150\degree$