Question
A triangle with two obtuse angles is possible.
Answer: Option B
:
B
The sum of all the three angles of a triangle is 180∘.
We know that obtuse angle is an angle which is greater than 90∘ and lessthan 180∘
Hence a triangle cannot have two obtuse angles.
The sum of 2 obtuse angles will be greater than (90 + 90), i.e. greater than 180∘.
Since the sum of 2 angles of the triangle is more than 180∘, the sum of three angles will be more than 180∘ for sure.
This is not possible as the sum of 3 angles of a triangle is fixed i.e. 180∘ and cannot exceed this limit.
Thus, a triangle cannot have 2 obtuse angles.
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:
B
The sum of all the three angles of a triangle is 180∘.
We know that obtuse angle is an angle which is greater than 90∘ and lessthan 180∘
Hence a triangle cannot have two obtuse angles.
The sum of 2 obtuse angles will be greater than (90 + 90), i.e. greater than 180∘.
Since the sum of 2 angles of the triangle is more than 180∘, the sum of three angles will be more than 180∘ for sure.
This is not possible as the sum of 3 angles of a triangle is fixed i.e. 180∘ and cannot exceed this limit.
Thus, a triangle cannot have 2 obtuse angles.
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