Question

If the sum of the interior angle measures of a polygon with n sides is 2880 find n

Answer 1

the sum of the interior angles in an ngon is (n-2)*180

so if the sum of the interior angles is 2880, then

2880=(n-2)*180

solve for n

divide both sides by 180

14=n-2

add 2 to both sides

16=n

n=16

Answer 2

18

Explanation:

(n-2) 180 =2880

n-2 = 16

divide 16 by 2880 and you get 18

The polygon has 18 sides.

plug it in

(18-2) 180=2880

18-2

16

16*180

2880

The polygon has 18 sides.