Question

A triangle with two obtuse angles is possible.

• 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 two obtuse angles will be greater than $90+90$, i.e. greater than ${180}^{\circ }$.

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

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

Thus, a triangle cannot have two obtuse angles.