The sum of the interior angle of a polygon is 1980 .how many sides has the polygon?

1 answer

The sum of the interior angles of a polygon with n sides is given by the formula (n-2) * 180 degrees.

Since the sum of the interior angles is 1980 degrees, we have:

(n-2) * 180 = 1980

Dividing both sides by 180, we get:

n-2 = 11

Adding 2 to both sides, we have:

n = 13

Therefore, the polygon has 13 sides.