Question

25 if a regular polygon has 10 sides, what is the measure of each exterior angle? (show all work on paper) exterior angle = degrees.

Explanation:

Step1: Recall the formula for exterior angles of a regular polygon

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

Step2: Substitute \(n = 10\) into the formula

Here \(n = 10\), so \(\theta=\frac{360^{\circ}}{10}\).

$$ \theta = 36^{\circ} $$

Answer:

\(36\)