To find the interior angle of a regular polygon, where all sides and angles are equal, you can use the following formula:

\[
\text{Interior Angle} = \frac{(n - 2) \times 180^\circ}{n}
\]

### Where:
- \( n \) is the number of sides of the polygon.

### Explanation:
- The sum of the interior angles of any polygon is \( (n - 2) \times 180^\circ \).
- Since all angles in a regular polygon are equal, dividing this sum by the number of sides \( n \) gives the measure of each interior angle.

### Example:
For a regular hexagon (6-sided polygon):
\[
\text{Interior Angle} = \frac{(6 - 2) \times 180^\circ}{6} = \frac{720^\circ}{6} = 120^\circ
\]

Would you like to try an example with a specific polygon or need more details on this?

### 5 Related Questions:
1. How do you calculate the exterior angle of a regular polygon?
2. What is the sum of all interior angles of a 12-sided regular polygon?
3. How do the number of sides in a polygon affect the size of its interior angles?
4. What are some real-life applications of regular polygons?
5. How does the formula change for irregular polygons?

**Tip**: The exterior angle of a regular polygon is complementary to the interior angle and can be calculated as \( \frac{360^\circ}{n} \).

Understand how to calculate the interior angles of regular polygons using a simple formula. Learn with examples like a regular hexagon and explore the properties of polygons. Ideal for high school students.

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