Angle $$A B C$$ is inscribed in a circle as shown. ![](http://admin.getprephub.com/media/editor/d9_20230225223817962586.png)

In the given figure, ![](http://admin.getprephub.com/media/editor/d9s_20230225223828540012.png) Given that, the angle subtended by the arc $$A C$$ at the circle $$=120^{\circ}$$ ![](http://admin.getprephub.com/media/editor/d9ss_20230225223842811390.png) We know that, The angle subtended by an arc in the circumference $$=\frac{1}{2} \times$$ the angle subtended by the arc at the centre $$<A B C=\frac{1}{2} \times<O C$$ or, $$<A B C=\frac{1}{2} \times 120^{\circ}=60^{\circ}$$ Or, , $$<A B C=60^{\circ}$$

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MCQ

Angle $A B C$ is inscribed in a circle as shown.

Select all that apply :

$60^{\circ}$

$120^{\circ}$

$140^{\circ}$

$360^{\circ}$

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