MCQ
In a right$-$angled triangle, the angles other than the right angle are:
- ✓Obtuse.
- BRight.
- CAcute.
- DStraight.
✓
Answer
Correct option: A.
Obtuse.
In right angled $\triangle\text{ABC}, \angle\text{B}=90^{\circ} [$angle sum property of a triangle$]$
$\angle\text{A}+\angle\text{B}+\angle\text{C}=180^{\circ}$
$\Rightarrow \angle\text{A}+90^{\circ}+\angle\text{C}=180^{\circ}$
$\Rightarrow \angle\text{A}+\angle\text{C}=180^{\circ}-90^{\circ}=90^{\circ}$
Hence, in a right angled triangle, the angles other than the right angle are acute.
$\angle\text{A}+\angle\text{B}+\angle\text{C}=180^{\circ}$
$\Rightarrow \angle\text{A}+90^{\circ}+\angle\text{C}=180^{\circ}$
$\Rightarrow \angle\text{A}+\angle\text{C}=180^{\circ}-90^{\circ}=90^{\circ}$
Hence, in a right angled triangle, the angles other than the right angle are acute.
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