Question

find the measure of an exterior angle of a regular hexadecagon (16 - sided polygon). exterior angle = do not round your answer.

Explanation:

Step1: Recall the formula for the measure of an exterior angle of a regular polygon

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

Step2: Substitute \(n = 16\) into the formula

Here, \(n = 16\) (since it is a hexadecagon). So, \(E=\frac{360}{16}\).

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Answer:

\(22.5\)