In the figure, PQ is a tangent to the circle with centre O at the point A. AB is a chord and C is a point on the major arc. If ∠BAQ = 65°, find: (i) ∠ACB (ii) ∠AOB (iii) ∠OAB

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TextAngle Subtended by Arc at Centre is Twice Angle at CircleAlternate Segment Theorem for Tangent and Chord

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In Fig. 9.19, AB is a diameter of the circle, CD is a chord equal to the radius of the circle. AC and BD when extended intersect at a point E. Prove that ∠ AEB = 60°.

TextAngle Subtended by Arc at Centre is Twice Angle at Circle

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TextAngle Subtended by Arc at Centre is Twice Angle at Circle