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 exterior angles of any polygon is \(360^{\circ}\). For a regular polygon with \(n\) sides, the measure of each exterior angle \(\theta=\frac{360^{\circ}}{n}\).

Step2: Substitute \(n = 13\)

Here, \(n = 13\), so \(\theta=\frac{360}{13}\approx27.69^{\circ}\)

Answer:

\(27.69^{\circ}\)