Question

28 if the measure of one exterior angle of a regular polygon is 12, how many sides does the polygon have? formula: \\(\frac{360}{exterior\\ angle}\\) \\(\square\\)

Explanation:

Step1: Substitute the given exterior angle into the formula

The formula for the number of sides \(n\) of a regular polygon is \(n=\frac{360}{\text{exterior angle}}\). Given that the exterior angle is \(12\), we substitute it into the formula: \(n = \frac{360}{12}\).

Step2: Calculate the value

\(\frac{360}{12}=30\)

Answer:

\(30\)