What is the value of each exterior angle of a regular polygon

To find the value of each exterior angle of a regular polygon, you need two key pieces of information: the number of sides of the polygon (n) and the formula to calculate the measure of each exterior angle.

The formula to calculate the measure of each exterior angle of a regular polygon is:

Exterior Angle = 360 degrees / Number of Sides

Let's use an example to illustrate this: a regular polygon with 6 sides (a hexagon).

Using the formula, we can calculate the measure of each exterior angle:

Exterior Angle = 360 degrees / 6 sides
Exterior Angle = 60 degrees

Therefore, each exterior angle of a regular hexagon measures 60 degrees.

You can use the same formula to calculate the measure of each exterior angle for other regular polygons by substituting the appropriate value for the number of sides into the formula.