Question

regular polygon
what are the number of sides for the regular polygon that has a measure of 18° for each of its exterior angles?

number of sides	result

Explanation:

Step1: Recall exterior - angle formula

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

Step2: Substitute the given value

Given $x = 18^{\circ}$, we substitute it into the formula $n=\frac{360}{18}$.

Step3: Calculate the result

$n = 20$.

Answer:

20