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Can a triangle have two obtuse angles? Give reason for your answer

Answers (1)

Answer: No

Solution.

No, a triangle cannot have two obtuse angles
Reason: the obtuse angle is greater than 900
Let us consider the smallest obtuse angle, i.e., 910
Let the two obtuse angles be equal to 91o, so the sum of these two obtuse angles is equal to 1820
But the sum of interior angles of a triangle is always equal to 1800
So the given condition is not possible.

Hence, we cannot create a triangle with two obtuse angles

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