Thread: Polygon Invariants

This is the question Im having trouble with

Assume that the angle sum in a triangle is invariant. Use that fact to write an argument that for n-sided polygons, the angle sum is also invariant. Find a rule that will tell you the sum if you know the number of sides.

Can anyone help?

great question!

n.....angle sum
3.....180
4.....360
5.....540
6.....720

see if you can find a pattern/relation between n and the angle sum

So its adding 180 degrees everytime you add a side to the polygon.

How would you right a rule for it, though?

Thanks

something like:

(n-2)*180 = angle sum