Not sure exactly what you mean.
Supplementary angles are such that they sum to 180o
Obtuse angles are greater than 90o and less than 180o
→ the sum of two obtuse angles is greater than 90o + 90o, ie is greater than 180o
So two obtuse angles can never be supplementary.
For two angles to be supplementary they must be either:
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In normal geometry, it's not possible to make a triangle with two obtuse angles. It is possible to make a triangle with two obtuse angles in spherical geometry -- it's a kind of "spherical triangle". It is possible to make a triangle with two obtuse angles in some kinds of non-Euclidean geometry -- it's a kind of "non-Euclidean triangle".
The adjacent Supplementary angles are the sum of 2 angles that make 180 degrees.
They make a pair of acute angles and a pair of obtuse angles. In rotational order, the angles are acute, obtuse, acute, obtuse.
If they have the same angles.
They are supplementary angles.