2026 RSS P1 Q15

2026 RSS P1 Q15

Secondary 4
4 marks

\(A\), \(B\), \(C\) and \(D\) lie on a circle, with \(C\) and \(D\) on the same side of chord \(AB\).

Angle \(CAB=50^\circ\), angle \(ABC=65^\circ\) and angle \(DAB=26^\circ\).

  1. Find angle \(ADB\).
    Give a reason for each step of your working.[2]
  2. Explain why \(AD\) does not pass through the centre of the circle.[2]

Solution:

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Answer:(a) \(65^\circ\) (b) \(\angle ABD=89^\circ\ne90^\circ\), so \(AD\) is not a diameter.

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