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How do the angles inside a quadrilateral add up to 360?

April 26, 2017quadrilateral

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How do the angles inside a quadrilateral add up to 360?

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If you cut any quadrilateral along one of its diagonals, the figures formed are two triangles. Since the sum of the angles of a triangle is 180 degrees, then the sum of the angles of two triangles is 2(180) = 360 degrees. For this reason, the sum of the angles of a quadrilateral is 360 degrees.