Interior and Exterior Angles of a Regular Dodecagon

Consider a regular polygon with 12 sides, also known as a dodecagon. A regular dodecagon has all sides of equal length and all interior angles of equal measure.

To find the measure of each interior angle of a regular dodecagon, you can use the formula for the measure of each interior angle:

$$ I =\frac{(n - 2) imes 180^ ext{o}}{n} $$

where $n$ is the number of sides of the polygon. Calculate the measure of each interior angle of a regular dodecagon. Then, answer the following question:

If the measure of each exterior angle of any regular polygon is given by the formula: $$ E =\frac{360^ ext{o}}{n} $$, is the measure of each exterior angle of a regular dodecagon greater than, less than, or equal to half the measure of each interior angle?