There can be at most 3 obtuse angles in a quadrilateral.
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A quadrilateral is any shape with four sides; angles can be acute or obtuse. A perfect square is the only quadrilateral with only right angles.
With 2 acute and 2 obtuse angles it has 4 angles - the shape is a quadrilateral. The shape can be one of trapezium, parallelogram, rhombus, kite or a general quadrilateral. With the two acute angles next to each other (forcing the two obtuse angles to be next to each other) the shape can be either a trapezium or a general quadrilateral.
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A trapezoid can have 2 right angles, an obtuse and an acute angle Or a kite.