Question

The number of sides of a regular polygon where each exterior angle has a measure of 45° is​

Answer 1

Total measure of ext. angles=360
Measure of each=45

NO. of sides=360/45=8

Therefore,the answer is 8

Answer 2

Question:

Find the no. of sides of a regular polygon where each exterior angle measures an angle of 45°.

Answer with explanation:

To find the no. of sides of a regular polygon if measure of each external angle is given, divide 360° by the external angle, because 360° is the sum of external angles of any polygon.

In this question, each exterior angle measures 45°. So we have to divide 360° by 45° to get the no. of sides of the regular polygon.

Thus we get,

$360\textdegree / 45\textdegree = \bold{8}$

So the no. of sides of the regular polygon is 8, and so it is a regular octagon.