Final answer:
The central angle of a regular pentagon is 108 degrees.
Step-by-step explanation:
A regular pentagon is a polygon with five equal sides and five equal angles.
To find the central angle of a regular pentagon, we need to divide the total interior angle measure by the number of sides.
In a regular pentagon, the interior angle measure is given by the formula:
Interior Angle Measure = (n-2) * 180° / n,
where n is the number of sides. Substituting n = 5, we get:
Interior Angle Measure = (5-2) * 180° / 5 = 108°.
Therefore, the central angle of a regular pentagon is
108 degrees