Sure, so long as they are in the opposite corners of each other. This would make it have two sets of parallel sides. It would look like a rectangle that's top had been pushed over. The measure of the other two angles would be 135 each, because the two adjacent vertexes (or corners) have to add up to be 180 degrees.
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No because the 4 interior angles must add up to 360 degrees
No it cannot, because the interior angles of a parallelogram ... or of anyfour-sided figure for that matter ... must add up to 360 degrees.
No because the total sum of interior angles of a parallelogram are 360 degrees.
No, because it doesn't equal 360 degrees
Yes- both will be 45-degree angles.