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find the measure of an exterior angle of a regular tridecagon (13 - sid…

Question

find the measure of an exterior angle of a regular tridecagon (13 - 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, the measure of each exterior angle $\theta$ is given by $\theta=\frac{360^{\circ}}{n}$.

Step2: Substitute $n = 13$

Here, $n = 13$ (since it is a tridecagon). So, $\theta=\frac{360}{13}\approx27.69^{\circ}$.

Answer:

$27.69$