Question

The sum of the measures of the interior angles of a polygon is 1440°.

How many sides does the polygon have?

Answer 1

@BloomLocke367

Answer 2

@rafrasan

Answer 3

First, there are restrictions to this problem. If the polygon is not a simple polygon, then there is no way to know the answer to your question.

The definition of a simple polygon is:

A polygon is simple if the boundary of the polygon does not cross itself.

So I'll assume that you are asking about simple polygons.

In that case the sum of the angles of a simple polygon with n sides is:

180 * (n-2)

So for this problem:

180 * (n - 2) = 1440

n - 2 = 8

n = 10

Answer 4

can this help

Answer 5

i hope so

Answer 6

anybody else?

Answer 7

That is the exact same thing I got when I did some research

Answer 8

lol