The sum of the measures of a linear (not lieir!) pair is exactly 180 degrees. Each obtuse angle is greater than 90 degrees so the sum of two must be greater than 180 degrees.
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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.
There can be 0 to 5 right angles, or 1 to 6 obtuse angles in a hexagon.
Not triangle
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".