To determine the measure of each interior angle of a regular hexagon, follow these steps:
1. A regular hexagon has 6 sides.
2. The formula to find the sum of the interior angles of any polygon is given by:
[tex]\[
\text{Sum of interior angles} = (n - 2) \times 180^\circ
\][/tex]
where [tex]\( n \)[/tex] is the number of sides of the polygon.
3. For a hexagon, [tex]\( n = 6 \)[/tex]. Plugging this value into the formula:
[tex]\[
\text{Sum of interior angles} = (6 - 2) \times 180^\circ = 4 \times 180^\circ = 720^\circ
\][/tex]
4. Since a regular hexagon has all equal interior angles, the measure of each interior angle can be found by dividing the sum of the interior angles by the number of sides:
[tex]\[
\text{Measure of each interior angle} = \frac{720^\circ}{6} = 120^\circ
\][/tex]
Therefore, the measure of each interior angle of a regular hexagon is [tex]\( 120^\circ \)[/tex]. Hence, the answer is:
C. 1200
