Question 145
In the adjoining figure $$\angle AOC=140°$$ where O is the centre of the circle then $$\angle ABC$$ is equal to:
Solution
Given : $$\angle AOC=140°$$
To find : $$\angle ABC=?$$
Solution : Reflex $$(\angle AOC)=360^\circ-140°=220^\circ$$
Angle at the centre is double the angle subtended by the arc at any point on the circle.
=> $$\angle ABC=\frac{220^\circ}{2}=110^\circ$$
=> Ans - (A)
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