Question

what is the measure of an exterior angle of a regular 13 - sided polygon? enter your answer as a decimal in the box. round to the nearest tenth of a degree.

Explanation:

Step1: Recall exterior - angle formula

The sum of the exterior angles of any polygon is 360°. 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, \(n = 13\), so \(\theta=\frac{360}{13}\).

Step3: Calculate the value

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

Answer:

27.7