Question

find the measure of an exterior angle of a regular dodecagon. the measure of an exterior angle of a regular dodecagon is \\(\square^\circ\\) (type an integer or a decimal.)

Explanation:

Step1: Recall exterior angle sum rule

The sum of exterior angles of any convex polygon is $360^\circ$.

Step2: Count sides of dodecagon

A dodecagon has 12 equal sides/angles.

Step3: Calculate single exterior angle

Divide total by number of sides: $\frac{360^\circ}{12}$

Answer:

$30^\circ$