It has two obtuse angles
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Two.
Except for the special case of a rectangle, a parallelogram must have two obtuse angles.
Yes it can have two obtuse angles
If two of the angles of a parallelogram are acute, then the other two angles will be obtuse. Since a parallelogram contains two pairs of parallel sides, both of the acute angles and both of the obtuse angles respectively will measure the same.
A parallelogram has 2 equal opposite acute angles and 2 equal opposite obtuse angles.