To find the measure of an interior angle of a hexagon (which is a polygon with 6 sides), you can use the following formula for the measure of each interior angle of a regular polygon:
\[ \text{Interior Angle} = \frac{(n - 2) \times 180}{n} \]
where \( n \) is the number of sides of the polygon. For a hexagon, \( n = 6 \).
Plugging in the value for a hexagon:
\[ \text{Interior Angle} = \frac{(6 - 2) \times 180}{6} = \frac{4 \times 180}{6} = \frac{720}{6} = 120^\circ \]
So, each interior angle of a regular hexagon measures \( 120^\circ \).
To visualize this, a diagram of a hexagon would typically show all six sides and angles, each labeled with \( 120^\circ \).
In summary:
- The formula for the interior angle of a regular polygon is: \[ \text{Interior Angle} = \frac{(n - 2) \times 180}{n} \]
- For a hexagon (\( n = 6 \)), each interior angle is \( 120^\circ \).