Mathematics
An equilateral triangle ABC is inscribed in a circle with centre O. The measure of ∠BOC is :
120°
60°
90°
30°
Circles
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Answer
In equilateral triangle ABC,
∠BAC = 60°
We know that,
The angle which an arc subtends at the center is double that which it subtends at any point on the remaining part of the circumference.
∴ ∠BOC = 2∠BAC = 2(60°) = 120°.
Hence, option 1 is the correct option.
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