Question

Can a triangle have two obtuse angles?

• A. Yes
• B. No

Answer 1

The correct option is B No

Let's consider a triangle $ABC$ with $\angle B$ and $\angle C$ as obtuse and $\angle A$ as acute.
$\therefore \angle B>{90}^{\circ }$ and $\angle C>{90}^{\circ }$
$\Rightarrow \angle B+\angle C>{180}^{\circ }$
Now, According to the angle sum property of a triangle.
$m\angle A+m\angle B+m\angle C={180}^{\circ }$

So it is not possible sum of two interior angles is more than ${180}^{\circ }$
$\therefore$ An triangle can have only one obtuse angle at max.