a quadrilateral is said to be concave if one of its angles is
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In a concave quadrilateral, one interior angle is bigger than 180°, and one of the two diagonals lies outside the quadrilateral.
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In a convex quadrilateral each angle measures less than 180°. In a concave quadrilateral at least one angle is a reflex angle, i.e., an angle larger than 180°. In figure, ABCD is a concave quadrilateral because a line joining the vertices A and C is going outside the quadrilateral region.
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