Question

find the measure of an exterior angle of a regular tridecagon (13 - sided polygon). exterior angle = ?° round your answer to the nearest tenth.

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, the measure of each exterior angle $\theta$ is given by the formula $\theta=\frac{360^{\circ}}{n}$.

Step2: Substitute $n = 13$

Here, $n = 13$. So, $\theta=\frac{360}{13}$.

Step3: Calculate the value

$\theta=\frac{360}{13}\approx27.7^{\circ}$

Answer:

$27.7^{\circ}$