can 2 obtuse angles be a supplementary angle?

Hi Gayathri!

It is known that the angle whose measure is in between 90° and 180° is called an obtuse angle.

Therefore, if two obtuse angles are added; then their sum will be in between 2 × 90° and 2 × 180° .

I.e., the sum of two obtuse angle is in between 180° and 360°.

For instance, let us take two obtuse angles of measures 91° and 92°.

Sum of these angles = 91° + 92° = 183° which is in between 180° and 360°.

For another instance, let us take another two obtuse angles of measures 178° and 179°.

Sum of these angles = 178° + 179° = 357° which is in between 180° and 360°

Similarly, if you add two obtuse angles of any measures; then their sum will be in between 180° and 360°.

 This means the sum of the measures of any two obtuse angles is not 180°.

Thus, two obtuse angles can never be supplementary angles.

Hope this helps!

Best!