MCQ
In a rhombus ABCD, if $A B=A C$, then $\angle A B C$ is
- A$120^{\circ}$
- B$90^{\circ}$
- ✓$60^{\circ}$
- Dnone of these
✓
Answer
Correct option: C.
$60^{\circ}$
(c) $60^{\circ}$
ABCD is a rhombus
$\therefore \quad A B=B C=C D=D A$
Given that $A B=A C$. Therefore, in $\triangle A B C$, we obtain
$A B=B C=A C \Rightarrow \triangle A B C \text { is equilateral. } \Rightarrow \triangle A B C=60^{\circ} .$
ABCD is a rhombus
$\therefore \quad A B=B C=C D=D A$
Given that $A B=A C$. Therefore, in $\triangle A B C$, we obtain
$A B=B C=A C \Rightarrow \triangle A B C \text { is equilateral. } \Rightarrow \triangle A B C=60^{\circ} .$
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