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Math Help - Polygon Invariants

  1. #1
    Junior Member wpcp15's Avatar
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    Unhappy 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?
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  2. #2
    Site Founder MathGuru's Avatar
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    Question angle sum for n number of sides

    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
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  3. #3
    Junior Member wpcp15's Avatar
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    So its adding 180 degrees everytime you add a side to the polygon.

    How would you right a rule for it, though?

    Thanks
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  4. #4
    Site Founder MathGuru's Avatar
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    angle sum equation

    something like:

    (n-2)*180 = angle sum
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