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

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