The measure of each exterior angle of a regular polygon is $30$ degrees. What is the sum of the measures of the interior angles, in degrees?
I recall that the measure of each exterior angle of a regular polygon is $360$ degrees divided by the number of sides. So, if each exterior angle is $30$ degrees, then there are $360 \div 30 = 12$ sides. I also recall that the sum of the interior angles of a polygon is $(n - 2) \times 180$ degrees, where $n$ is the number of sides. So, the sum of the interior angles of this polygon is $(12 - 2) \times 180 = 1800$ degrees. 