Question

If each angle of a triangle is less than the sum of the other two angles of it then the triangle is right-angled. State true or false

• A. True
• B. False

Answer 1

The correct option is B False

Consider a triangle ABC.
Now, given,$\angle A<\angle B+\angle C$
$\angle A<180-\angle A$ (Angle sum property)
$2\angle A<180$
$\angle A<90$
Similarly, $\angle B<90$ and $\angle C<90$
Hence, ABC is an acute angled triangle