Question

find the measure of an exterior angle of a regular dodecagon (12 - sided polygon). exterior angle = ?°

Explanation:

Step1: Recall exterior - angle formula

The formula for the measure of an exterior angle of a regular polygon is $\text{Exterior Angle}=\frac{360^{\circ}}{n}$, where $n$ is the number of sides of the polygon.

Step2: Substitute $n = 12$

Substitute $n = 12$ into the formula: $\text{Exterior Angle}=\frac{360^{\circ}}{12}$.

Step3: Calculate the value

$\frac{360}{12}=30$.

Answer:

$30$