Final answer:
The sum of all interior angles of a 31-sided regular polygon is calculated using the formula (n-2) × 180, which equals 5220 degrees.
Step-by-step explanation:
The sum of all interior angles of a polygon can be calculated using the formula (n-2) × 180 degrees, where n is the number of sides of the polygon. For a 31-sided regular polygon, we apply the formula as follows:
Sum of interior angles = (31-2) × 180 degrees
= 29 × 180 degrees
= 5220 degrees.
Therefore, the sum of all interior angles of a 31-sided regular polygon is 5220 degrees.