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  4. In the following figure, O is the centre of the circle, A C is the diameter and if angle A P B=120°, then find angle B Q C.

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Q. In the following figure, $O$ is the centre of the circle, $A C$ is the diameter and if $\angle A P B=120^{\circ}$, then find $\angle B Q C$.Mathematics Question Image

Geometry

Solution:

(i) $A P B C$ is a cyclic quadrilateral.
(ii) $\angle A B C$ is an angle in a semi-circle.
(iii) $A B Q C$ is a cyclic quadrilateral.