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To calculate the measure of each exterior angle of a regular pentagon, we can use the formula:

\[
\text{Exterior angle of a regular polygon} = \frac{360^\circ}{n}
\]

Where \( n \) is the number of sides of the polygon. In a regular pentagon, \( n = 5 \).

\[
\text{Exterior angle of a regular pentagon} = \frac{360^\circ}{5} = 72^\circ
\]

So, the measure of each exterior angle of a regular pentagon is **72 degrees**.

Would you like further details on this solution? Here are five related questions:

1. What is the sum of the exterior angles of any polygon?
2. How do you calculate the interior angle of a regular pentagon?
3. What is the relationship between the exterior and interior angles of a regular polygon?
4. How do you calculate the exterior angles of a polygon with more than five sides?
5. How does the number of sides in a polygon affect the measure of its exterior angles?

**Tip:** For any regular polygon, the sum of all exterior angles is always \(360^\circ\), no matter how many sides it has!

Calculate the measure of each exterior angle of a regular pentagon.

Learn how to calculate the measure of each exterior angle of a regular pentagon using the formula: 360° divided by the number of sides. Suitable for students in Grades 7-9 studying geometry and polygonal shapes.

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