SOLUTION: how many diagonals does a polygon with 32 sides have? and how do you figure out this type of problem?

Question 230295: how many diagonals does a polygon with 32 sides have? and how do you figure out this type of problem?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
how many diagonals does a polygon with 32 sides have? and how do you figure out this type of problem?
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You have 32 vertices.
It takes 2 vertices to form a diagonal.
But 2 of those vertex pairs determine sides of the polygon.
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So the number of diagonals is 32C2 - 2 = (32*31/1*2) - 2 = 494 diagonals.
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Cheers,
Stan H
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