Question 189396
Starting with the formula for the sum (S) of the interior angles of a convex polygon is given by:
{{{S = (n-2)*180}}} where n = the number of sides and in this problem, S = 2880, so...
{{{(n-2)180 = 2880}}} Divide both sides by 180.
{{{n-2 = 16}}} Add 2 to both sides.
{{{n = 18}}}
The polygon has 18 sides.