None - they are all right-angles.
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Two.
Except for the special case of a rectangle, a parallelogram must have two obtuse angles.
A rectangle cannot have any obtuse angles; it contains only right angles. Parallelograms can have two, provided that the others are acute.
Sometimes it has an obtuse angle. If it is just a parallelogram or a rhombus, then it has two obtuse angles.\. If it is also a rectangle or a square, then it has four right angles.
Yes, unless it is a rectangle and they are all right angles.