Question

A triangle with two obtuse angles is possible. State whether true or false.

• A. True
• B. False

Answer 1

The correct option is B

False

The sum of all the three angles of a triangle is ${180}^{\circ }$.

We know that obtuse angle is an angle which is greater than ${90}^{\circ }$.​

The sum of the angles of 2 obtuse angles will be greater than 90+ 90 i.e. greater than ${180}^{\circ }$.​

Since, the sum of 2 angles of the triangle is more than ${180}^{\circ }$, the sum of three angles will be more than ${180}^{\circ }$.

This is not possible as the sum of 3 angles of a triangle is fixed i.e. ${180}^{\circ }$ and we cannot exceed that limit.

Thus, a triangle cannot have 2 obtuse angles.