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Math Help - Polygon property

  1. #1
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    Polygon property

    One of the properties of polygon is that the sum of all exterior angles is 360.
    How can this be true? For example in a polygon with six sides I get the following exterior angles: 270, 175, 260, 238, 217, 235 degrees.
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  2. #2
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    Re: Polygon property

    The angle sum of a polygon of n sides is actually $\displaystyle \begin{align*} (n-2)\,180^{\circ} \end{align*}$. The only way your angle sum can be $\displaystyle \begin{align*} 360^{\circ} \end{align*}$ is if your polygon is a quadrilateral.
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  3. #3
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    Re: Polygon property

    Your formula is applicable only if the sides are congruent.
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  4. #4
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    Re: Polygon property

    No, it applies to any polygon.
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