Final answer:
The sum of the interior angles of a regular polygon can be calculated using the formula (n-2) * 180, where n is the number of sides. Solving the equation (n-2) * 180 = 3960 gives us n = 24, so the polygon has 24 sides.
Step-by-step explanation:
A regular polygon is a polygon with all sides and angles congruent. In any polygon, the sum of the interior angles can be calculated using the formula: (n-2) * 180, where n is the number of sides of the polygon.
In this case, we are given that the sum of the interior angles is 3960. So we can set up the equation (n-2) * 180 = 3960.
Now we can solve for n:
(n-2) * 180 = 3960
n - 2 = 3960 / 180
n - 2 = 22
n = 22 + 2
n = 24
Therefore, the regular polygon has 24 sides.