Q14 of 22 Page 126

In the adjoining figure, if O is centre of circle and BC is the diameter then the value of x is

In ΔABO, 2∠BAO + ∠BOA = 180


⇒ ∠BOA = 80°


⇒ ∠AOC = 180 – 80 = 100


By the theorem:-


The angle formed at the centre of a circle by an arc, is double of the angle formed by the same arc at any point on circle.


⇒ ∠AOC = 2x


⇒ x = 50°

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