Question

Is it possible to have a regular polygon whose each exterior angle is:

Answer 1

Step: Is regular polygon possible
Let the number of sides be n.

Given: Each exterior angle =${36}^0$

We know that, each exterior angle =$\frac{{360}^0}{n}$

$\Rightarrow 36=\frac{{360}^0}{n}$

$\Rightarrow n=\frac{{360}^0}{36}$

$\therefore n=10$

Here, n is a whole number.

Hence, it is possible to have a regular polygon whose exterior angle is 36°.