The equation to find the sum of interior angles of a n-sided polygon is:
(n - 2) * 180
So, we don't know what n is but we can make it look like this:
(n - 2) * 180 = 8,280
Solve for n.
(n - 2) * 180 = 8,280
~Divide 180 to both sides
(n - 2) * 180/180 = 8,280/180
~Simplify
n - 2 = 46
~Add 2 to both sides
n - 2 + 2 = 46 + 2
~Simplify
n = 48
Therefore, the polygon has 48 sides.
Best of Luck!
