Question

find the measure of an exterior angle of a regular hexadecagon (16 - sided polygon). exterior angle = ?° do not round your answer.

Explanation:

Step1: Recall exterior - angle formula

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

Step2: Substitute $n = 16$

Substitute $n = 16$ into the formula: $\frac{360}{16}$.

Step3: Simplify the fraction

$\frac{360}{16}=\frac{45}{2}= 22.5$.

Answer:

$22.5$