Question

select the correct answer. a regular polygon has an exterior angle measuring 30°. how many sides does the polygon have? a. 12 b. 10 c. 8 d. 14

Explanation:

Step1: Recall exterior - angle formula

The sum of exterior angles of any polygon is $360^{\circ}$. For a regular polygon, if the measure of each exterior angle is $E$ and the number of sides is $n$, then $n=\frac{360^{\circ}}{E}$.

Step2: Substitute the given value

Given $E = 30^{\circ}$, we substitute it into the formula $n=\frac{360^{\circ}}{30^{\circ}}$.
$n = 12$

Answer:

A. 12