A tangent meeting an extended diameter

A tangent meeting an extended diameter

IP 2
3 marks
TGM Original Questions

In the diagram, \(O\) is the centre, \(AB\) is a diameter and \(\angle BAC=30^\circ\). The tangent at \(C\) meets \(AB\) extended beyond \(B\) at \(T\).

  1. Find \(\angle CTB\), giving geometrical reasons.[3]

Solution:

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Answer:(a) \(30^\circ\)

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