The interior angle of any regular polygon can be obtained with the formula:
[tex] \frac{(180)(n-2)}{n} [/tex] where n is the number of sides.
Pentagon is a five-sided polygon. So, solving for the measure of each angle using the formula above, and n=5, then we have,
[tex] \frac{(180)(n-2)}{n} = \frac{(180)(5-2)}{5} = \frac{540}{5} =108[/tex] degrees
Each angle has 108 degrees. Thus, angle cad measures 108 degrees.
