Question

The sum of the measures of the interior angles of a polygon is 2880°. How many sides does the polygon have?

Answer 1

Starting with the formula for the sum (S) of the interior angles of a convex polygon is given by:
 where n = the number of sides and in this problem, S = 2880, so...

 Divide both sides by 180.
 Add 2 to both sides.

The polygon has 18 sides

Answer 2

Hey

Here is your answer,

The sum of the measures of the interior angles of a convex polygon with n sides is (n-2)180

now we just substitute

(n-2)180=2880
180n-360=2880
180n=3240
n=18

there are 18 sides

Hope it helps you!