MCQ
- A$20^{\circ}$
- ✓$40^{\circ}$
- C$60^{\circ}$
- D$10^{\circ}$
✓
Answer
Correct option: B.
$40^{\circ}$
(b) $40^{\circ}$
We observe that arc AC makes angle $\angle A B C=20^{\circ}$ at a point B on the circumference of the circle and $\angle A O C$ at the centre O.
$\therefore \quad \angle A O C=2 \angle A B C=2 \times 20^{\circ}=40^{\circ}$
We observe that arc AC makes angle $\angle A B C=20^{\circ}$ at a point B on the circumference of the circle and $\angle A O C$ at the centre O.
$\therefore \quad \angle A O C=2 \angle A B C=2 \times 20^{\circ}=40^{\circ}$
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