Mathematics
In the given figure, O is the centre of the circle such that ∠AOC = 130°, then ∠ABC is equal to :
65°
90°
105°
115°
Circles
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Answer
Reflex ∠AOC = 360° - 130° = 230°
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.
∴ ∠ABC = Reflex ∠AOC
∠ABC = = 115°.
Hence, option 4 is the correct option.
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