MCQ
Maximum number of possible obtuse angles in a triangle is:
- A$0$
- ✓$1$
- C$2$
- D$3$
✓
Answer
Correct option: B.
$1$
Any triangle must have interior angles that add up to $180^{\circ}$. An obtus angle is an angle greater than $90^{\circ}$ but less than $180^{\circ}$ If you an angle that was $91^{\circ}$.
The other $2$ angles would have to be acute. This is because the other angles would take up $180^{\circ}-91^{\circ}=89^{\circ}$ of the triangle.
Since $89^{\circ}$ is less than $90^{\circ}$, this means the other $2$ angles must both be acute.You are left with $1$ obtuse angle.
The other $2$ angles would have to be acute. This is because the other angles would take up $180^{\circ}-91^{\circ}=89^{\circ}$ of the triangle.
Since $89^{\circ}$ is less than $90^{\circ}$, this means the other $2$ angles must both be acute.You are left with $1$ obtuse angle.
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