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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:

  • both right angles (90o each); or
  • one acute (less than 90o) and one obtuse (greater than 90o and less than 180o).
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Q: Is it possible for supplementary angles to make 2 obtuse angles?
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