In the adjoining figure ∠AOC = 140° where O is the

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In the adjoining figure ∠AOC = 140° where O is the centre of the circle then ∠ABC is equal to :

1. 110°
2. 100°
3. 90°
4. 40°

Correct Option: A

According to question , we draw a figure of a circle with centre O

Given that , ∠AOC = 140°
Angle subtended by arc AC at the centre = Reflex angle AOC = 360° – 140° = 220°

∴ ∠ABC = Angle at the circumference =	220	= 110°
	2