2020 TJC IP1 FM EOY Q10

2020 TJC IP1 FM EOY Q10

IP 1
6 marks

In the diagram below (not drawn to scale), the line segment \(AB\) is parallel to \(CD\) and \(HI\) is parallel to \(JD\). Point \(E\) is on the line segment \(CD\). Point \(G\) is the intersection between the line segments \(AB\), \(HI\) and \(FE\). Given that \(\angle BGI=23^\circ\), \(\angle GIJ=37^\circ\) and \(\angle GED=63^\circ\), find

  1. \(\angle HGA\),[1]
  2. \(\angle EGI\),[1]
  3. \(\angle DJI\),[1]
  4. reflex \(\angle JDE\).[3]

Solution:

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Answer:(i) \(23^\circ\) (ii) \(94^\circ\) (iii) \(37^\circ\) (iv) \(337^\circ\)

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