Question

It is possible to have a triangle in which two of the angles are obtuse. State whether the statement is True or False.

• A. True
• B. False

Answer 1

The correct option is B False

Determine if the given statement is true or false :

An obtuse angle is defined as an angle that is greater than $90°$ and less than $180°$.

Consider two obtuse angles $95°$ and $105°$.

Sum of two obtuse angles $=95°+105°=200°$

According to the angle sum property of a triangle, the sum of all three interior angles of a triangle is $180°$.

We observe that $200°$ is greater than $180°$.

The sum of interior angles of a triangle cannot be greater than $180°$.

So, it is not possible to have a triangle in which two of the angles are obtuse.

Hence, the given statement is False.