Question

the measure of an exterior angle of a regular polygon is given below. find the measure of an interior angle. then find the number of sides.
15
what is the measure of an interior angle?
\square

Explanation:

Step1: Recall interior-exterior angle relation

An interior angle and its corresponding exterior angle of a regular polygon are supplementary, meaning their sum is \(180^\circ\).

Step2: Calculate interior angle

Given the exterior angle is \(15^\circ\), so the interior angle \(= 180^\circ - 15^\circ = 165^\circ\).

Answer:

\(165^\circ\)