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ABC is an equilateral triangle and O is its circumcentre, then the ∠AOC is
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- 100°
- 110°
- 120°
- 130°
- 100°
Correct Option: C
As per the given in question , we draw a figure of an equilateral triangle whose circumcentre is O
In ∆ ABC,
∠ BAC = 60°, ∠ ABC = 60°
We can say that the angle subtended by an arc at the centre is twice to that at the circumference by the same arc.
∴ ∠ AOC = 2∠ABC = 120°