If the sum of the interior angles is 1,080, how many sides does the polygon have?

1 answer

To find the number of sides of a polygon, we can use the formula:
Sum of interior angles = (n-2) * 180 degrees
where n is the number of sides.

Given that the sum of the interior angles is 1,080 degrees, we can set up the following equation:
1,080 = (n-2) * 180

Solving for n:
1,080 = 180n - 360
1,080 + 360 = 180n
1,440 = 180n
n = 1,440 / 180
n = 8

Therefore, the polygon has 8 sides.