SOLUTION: 1. Can a triangle have two obtuse angles? Justify your answer

Question 180206: 1. Can a triangle have two obtuse angles? Justify your answer
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
No.
The sum of the 3 angles of a triangle equals 180.
1.
If two angles (A,B) are greater than 90, then their sum would be greater than 180.

where is some arbitrarily small positive amount.
Then substituting into eq. 1,
1.

We've shown 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.

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