if the sum of the interior angles of a polygon is 1800 degrees, how many sides does it have?

1 answer

The formula to find the sum of the interior angles of a polygon is: (n-2) * 180, where n is the number of sides in the polygon.

Given that the sum of the interior angles is 1800 degrees, we can set up the following equation:
(n-2) * 180 = 1800

Solving for n:
(n-2) = 1800 / 180
(n-2) = 10
n = 10 + 2
n = 12

Therefore, the polygon has 12 sides.