Is it possible to have two angles that are both supplementary and obtuse?

See Below

Step-by-step explanation:

Lets get down the definition of obtuse angle and what are supplementary angles.

Obtuse angles are angles GREATER than 90° but less than 180°. 180 degree angles are called straight angles (or straight lines).

Supplementary pairs are basically 2 angles that add up to 180°.

Now, can 2 obtuse angles be supplementary?

NO!

Why??

Obtuse angle HAS to be greater than 90 degrees. Lets take 2 obtuse angles to be really close to 90 degrees. I mean, really close:

90.0000001 degrees

and

90.0000001 degrees

When u add them up, they are STILL a bit more than 180 degrees, so they cannot be supplementary anyhow. If you were to take obtuse angle much bigger than 90 degrees, then of course, their sum will be way too larger than 180 degrees. So, from the discussion, it is obvious that 2 obtuse angles can't be supplementary.