1. 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.

2. 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.

3. Re: Polygon property

Your formula is applicable only if the sides are congruent.

4. Re: Polygon property

No, it applies to any polygon.