Question

Which of the following statements are true$\left(T\right)$ and which are false$\left(F\right)$

\(vii)\0 A triangle can have at most one obtuse angles

Answer 1

Statement: A triangle can have at most one obtuse angles.

If there is more than one obtuse angle, then the sum of all angles will exceed ${180}^{\circ }$.

Hence at most one obtuse angles in a triangle can be possible.

e.g $\angle A={105}^{\circ },\angle B=5^{\circ },\angle C={70}^{\circ }$,

Hence the statement is True.