Final answer:
The sum of interior angles of a polygon can be calculated using the formula (n-2)x180 degrees. By setting up and solving an equation with this formula, we can find both the number of sides and the name of the polygon.
Step-by-step explanation:
Let's denote the number of sides of the polygon as n. The sum of the interior angles of a polygon with n sides can be calculated using the formula: (n-2)x180 degrees.
Given that the sum of the interior angles is 1080 degrees, we can set up the equation: (n-2) x 180 = 1080.
Simplifying the equation, we have: n - 2 = 6. Adding 2 to both sides, we find that n = 8.
Therefore, the polygon has 8 sides and the name of the polygon is an octagon.