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Math Help - Decagons

  1. #1
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    Wink Decagons

    What is the largest possible number of reflex angles in a decagon?


    Is there a faster way? or easier way to this?
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  2. #2
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    Quote Originally Posted by clarebear14 View Post
    What is the largest possible number of reflex angles in a decagon?


    Is there a faster way? or easier way to this?
    The sum of a decagon's angles must be 180*(10-2) = 180*8 = 1440

    1440 is exactly 180*8 and since reflex angles are greater than 180, there can't be 8 or higher reflex angles, that doesn't rule out 7 though, and I'm sure you can find a decagon with 7 reflex angles.
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