2025 IGCSE 0580 May/June P23 Q13

2025 IGCSE 0580 May/June P23 Q13

4 marks

\(A\), \(B\), \(C\) and \(D\) are points on a circle.

\(EF\) is a tangent to the circle at \(A\).

\(AB\) is parallel to \(DC\).

  1. Find angle \(DCB\), giving a geometrical reason.[2]
  2. Find angle \(DBC\).[2]

Solution:

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Answer:(a) \(120^\circ\), since opposite angles of a cyclic quadrilateral are supplementary. (b) \(25^\circ\).

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