2026 SPS P1 Q14

2026 SPS P1 Q14

Secondary 4
3 marks

\(A,B\) and \(C\) are points on a circle with centre \(O\). \(AOC\) and \(ABD\) are straight lines. Angle \(CAB=28^\circ\) and angle \(BDC=60^\circ\).

  1. Find angle DCB. Give a reason for each step of your working.[2]
  2. Explain why DC is not a tangent to the circle.[1]

Solution:

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Answer:(a) \(30^\circ\). (b) Tangent–chord angle would be 28°, not 30°.

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