2026 CCHMS P1 Q22

2026 CCHMS P1 Q22

Secondary 4
6 marks

In the diagram, \(GH\) is parallel to \(LKJ\) and \(HJ\) is parallel to \(MK\).

\(\angle JHK=54^\circ\), \(\angle LKM=46^\circ\) and \(\angle HGM=100^\circ\).

  1. Find
    1. angle \(HJK\),[1]
    2. angle \(GHK\),[2]
    3. angle \(GMK\).[2]
  2. Explain why \(GM\) is parallel to \(HK\).[1]

Solution:

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Answer:(a)(i) \(46^\circ\) (ii) \(80^\circ\) (iii) \(126^\circ\) (b) Co-interior angles total \(180^\circ\), so \(GM\parallel HK\).

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