In the given figure, O is the centre of the circle. PQ is a tangent to the circle at T. Chord AB produced meets the tangent at P. AB = 9 cm, BP = 16 cm, ∠PTB = 50°, ∠OBA = 45°. Find:

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TextTangent-Secant Segment TheoremAlternate Segment Theorem for Tangent and Chord4 sub-questions

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X, Y, Z and C are the points on the circumference of a circle with centre 'O'. AB is a tangent to the circle at 'X' and ZY = XY. Given ∠OBX = 32° and ∠AXZ = 66°. Find:

TextTheorem on Tangent Perpendicular to Radius at Point of ContactAngle Subtended by Arc at Centre is Twice Angle at CircleAngles in Same Segment are EqualAlternate Segment Theorem for Tangent and Chord