Q14 of 22 Page 126

O is the circumcentre of Δ ABC and ∠OAB = 50°, then the value of ∠ACB is

In ΔABO, the value of ∠AOB = 80.


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.


⇒ ∠AOB = 2 ∠ACB


⇒ ∠ACB = 40°

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Let us write whether the following statements are true of false”

(i) In the adjoining figure, if O is centre of circle, then ∠AOB = 2 ∠ACD



(ii) The point O lies within the triangular region ABC in such a way that OA = OB and ∠AOB = 2∠ACB. If we draw a circle with centre O and length of radius OA, then the point c lies on the circle.