A traditional kite shape (a point at the top, then widest about 1/3 of the way down, then tapering to another point at the bottom) has one, two or three obtuse (>90 degree) angles. The two angles at the widest point, about 1/3 of the way from the top, are generally obtuse, but don't have to be. The bottom angle is almost never obtuse. The top angle is sometimes obtuse. So if the top angle is obtuse but the side angles are not, a kite shape has one obtuse angle. If the top angle is not, but the side angles are, it has two obtuse angles. If the top and side angles are obtuse it has three.
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How about a kite which is a 4 sided quadrilateral that can have 2 equal opposite obtuse angles
A kite could fit the given description.
A kite or various miscellaneous quadrilaterals with no particular name.
An obtuse angle is any angle that measures more than 90 degrees but less than 180 degrees. Examples of items that can be described as having obtuse angles include corners of furniture, the shape of a kite, or the shape of a slice of pizza with a wide angle.
A trapezoid and a rhombus are examples of shapes with more than one obtuse angle.