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  1. ABC is an equilateral triangle and O is its circumcentre, then the ∠AOC is
    1. 100°
    2. 110°
    3. 120°
    4. 130°
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°



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