find the number of sides of a regular polygon whose each exterior angle measures 30degrees

Let the number of sides of the regular polygon be n.

∴ Measure of each exterior angle of the regular polygon =

Given, Measure of each exterior angle of the regular polygon = 30º

$$\begin{gathered} \therefore \frac{360°}{n}= 30° \\ \Rightarrow n = \frac{360°}{30°} = 12 \end{gathered}$$

So, the number of sides of the polygon will be 12.