How many degrees will skaters turn if they go once around a regular hexagon? a regular octagon? a regular polygon with n sides? explain

Let us start with the explanation:

A rule of polygons says that the sum of the exterior angles always equals 360 degrees.

First of all we need to know the Interior and Exterior angle formulas:

It says the sum of the measures of the interior angles of a polygon with sides is .

Now If we count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°.

Let's talk about Hexagon first : It has got 6 sides  so, .

Since the skater is going around the hexagon, we need to find the sum of the measure of exterior angles ,

Talking about Octagon, it has got 8 sides  so, . So the sum of the measure of exterior angles is:

Plugging the value of 'n' we get:

Now, finding the sum of measure of exterior angles  for a sided polygon. We get:

Therefore, when the skater goes around a hexagon he covers , when he goes around an octagon he covers , and when he goes around a regular sided polygon , he covers .

you have to put the graph on here with the question

step-by-step explanation: