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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