Calculating Angles in a Pentagon

In a polygon with five sides, also known as a pentagon, the sum of the interior angles can be calculated using the formula:

$$ S = (n - 2) \times 180^{\circ} $$

where $n$ is the number of sides. For a pentagon, $n = 5$. Calculate the total sum of the interior angles, and then determine the measure of one angle if it is known that the angles are equal.