MCQ
If two angles of a triangle are $60^\circ $ each, then the triangle is:
- AIsosceles but not equilateral.
- BScalene.
- ✓Equilateral.
- DRight-angled.
✓
Answer
Correct option: C.
Equilateral.
$\text{In} \ \angle\text{ABC},$ $\angle\text{A}+\angle\text{B}+ \angle\text{C}=180^{\circ}$ [angle sum property of a triangle]
$\Rightarrow \ \angle\text{A}+60^{\circ}+60^{\circ}=180^{\circ}$ ${[\because\angle\text{B}=\angle{\text{C}}=60^{\circ},\text{given}]}$
$\Rightarrow \ \angle\text{A}=120^{\circ}-80^{\circ}$
$\Rightarrow \ \angle\text{A}=60^{\circ}$
Since, all the angles are of $60^\circ $.
so, it is an equilateral triangle.
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