To determine the measure of one of the exterior angles of a regular polygon, you can use the following formula:

$\text{Exterior Angle} = \frac{360^\circ}{n}$

Where:

• $n$ is the number of sides of the polygon.

Steps:

1. Identify how many sides the regular polygon has.
2. Use the formula to divide 360° by the number of sides ($n$).

For example, if you have a regular hexagon (6 sides), the exterior angle would be:

$\text{Exterior Angle} = \frac{360^\circ}{6} = 60^\circ$

Let me know if you have a specific polygon in mind, and I can calculate it for you!

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Here are 5 related questions to help further your understanding:

1. How do you calculate the sum of the interior angles of a polygon?
2. What is the relationship between interior and exterior angles in a regular polygon?
3. How can you calculate the interior angle of a regular polygon?
4. How would the exterior angle change if the polygon had more sides?
5. What is the exterior angle of a regular dodecagon (12 sides)?

Tip: Remember, the sum of all exterior angles of any polygon is always 360°, regardless of the number of sides!