No it wouldn’t be possible because the sum of the 3 angles of a triangle equals 180 (A+B+C= 180). If two angles (A and B) are greater than 90, then their sum would be greater than 180. (A+B= 180 +) where DELTA ( or the triangle) is some arbitrarily small positive amount.
Then substituting into eq. 1
A+B+C= 180
180++C = 180
+C= 0
C= -
This shows that the remaining angle (C) would need to be negative to make the sum equal 180.
That's not possible, therefore two obtuse angles would not be allowed in a triangle.
