ABC is an equilateral triangle and 0 is its circumcentre, then the ∠AOC is ?->(Show Answer!)

1. ABC is an equilateral triangle and 0 is its circumcentre, then the ∠AOC is

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By: anil on 05 May 2019 01.53 am

$$ riangle{ABC}$$ is an equilateral triangle,
$$angle{OAC}=frac{angle{BAC}}{2}$$ (In equilateral triangle medians and angle bisectors are same)
$$=30$$
Similarly,
$$angle{OCA}=30$$
In $$ riangle{OAC}$$,
$$angle{AOC}+angle{OAC}+angle{OCA}=180$$
$$angle{AOC}+30+30=180$$
$$angle{AOC}=120$$
Hence,Option C is correct.

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