As it wouldn't be a triangle. If you forced this, you would then have formed an irregular polygon square missing a side.
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No an abtuse triangle can not have two obtuse angles
An obtuse triangle can have no right angles, and has two equal angles.
An obtuse triangle must have two acute angles and these can be congruent.
Yes, an obtuse triangle can have two congruent angles, where for the obtuse angle measuring A degrees, each of the two other angles measures (180-A)/2.
No not ever because the 3 interior angles of any triangle add up to 180 degrees and so an obtuse triangle will have 1 obtuse and 2 acute angles.