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parallelogram with one diagonal
A kite can satisfy those criteria.
paralellogram
a quadrilateral can contain 2 right angles,one obtuse and one acute angle.
Yes, a quadrilateral just need to have 4 sides. Quad- means 4 and -lateral means sides. To have only one tight angle, it has to be either a right angle with 2 acute angles and 1 obtuse angle OR a right angle with 2 obtuse angle s and 1 acute angle.