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Angles in a Quadrilateral Total 360°

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The sum of the angles in a quadrilateral is 360° regardless of the positions of the vertices.

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When the quadrilateral crosses itself, think of it of as being folded over the diagonal . (The other diagonal could be used instead.) Then the angle (and ) overlaps itself and the common part is counted twice.

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Contributed by: Abby Brown (March 2011)
Open content licensed under CC BY-NC-SA

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