Question

find the measure of an exterior angle of a regular enneadecagon (19 - sided polygon). exterior angle = ?°

Explanation:

Step1: Recall exterior - angle formula

The sum of the exterior angles of any polygon is always $360^{\circ}$. For a regular polygon with $n$ sides, each exterior angle $\theta$ is given by the formula $\theta=\frac{360^{\circ}}{n}$.

Step2: Substitute $n = 19$

Here, $n = 19$. So, $\theta=\frac{360}{19}\approx 18.95^{\circ}$.

Answer:

$\frac{360}{19}\approx18.95$