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It can be proven that the angle sum of a triangle is 180 degrees using Euclid's parallel postulate. Any quadrilateral can be divided into two triangles by connecting two opposite sides. The sum of the angles of the quadrilateral will be the sum of the sum of the two triangles, or in other words 2*180=360. In fact, any n-gon can be divided into n-2 triangles and the sum of the angles of the n-gon will be (n-2)*180.

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Q: Why all quadrangle sum to 360 degree?
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