Find the value of x in the figure, which is a regular pentagon.

The figure is a regular pentagon, which means it has 5 equal sides and 5 equal interior angles.

The formula for the sum of the interior angles of a polygon with $n$ sides is $(n-2) \times 180^\circ$.
For a pentagon, $n=5$.
Sum of interior angles $= (5-2) \times 180^\circ = 3 \times 180^\circ = 540^\circ$.

Since it is a regular pentagon, all interior angles are equal. To find the measure of one angle ($x$), divide the sum of the interior angles by the number of sides (or angles).

The value of $x$ is $108^\circ$.

The correct option is C.
$\boxed{\text{C. 108 degrees}}$