Question 2209: if a simple figure has n sides,to find the sum (s)of the angles of that figure you use the formula:
s=180(n-2)
Answer by longjonsilver(2297)   (Show Source):
You can put this solution on YOUR website! to find the sum of the interior angles, yes that formula is correct, but can you remember it? Do you understand it?
A much better method is NOT to remember that formula, but to understand what i tell you here.....
a triangle has 3 sides...angles=180
any 4-sided figure can be split into 2 triangles...so 2 triangles = 2*180
any 5-sided figure can be split into 3 triangles...so 3 triangles = 3*180
blah blah blah...
any 24-sided figure can be split into 22 triangles...so 22 triangles = 22*180 etc. See? Now this explains the formula, doesn't it?
eg what is the sun of the interior angles of a 16 sided figure?
Answer... well, a 16-sided figure can be split into 14 triangles, so 14*180 = whatever :-). See, no formula required, ever!
jon
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