what type of quadilatered is it whose diagonal does not intersect
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Such quadrilaterals are called Concave Quadrilaterals, one of whose four interior angles is a reflex angle (> 180°).
Its diagonals are those lines those join two vertices lying on non adjacent sides.
Thus, one of its diagonals is bound to lie outside of it.
It would be technically correct to say, the diagonals intersect outside the quadrilateral
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