2019 RGS Y1 EYA Q13

2019 RGS Y1 EYA Q13

IP 1
8 marks

In the figure, \(ABCD\) is a square and \(ABF\) is an isosceles triangle so that \(AB=AF\). \(AEC\) and \(DEF\) are straight lines. Given that \(\angle EAF=22^\circ\),

  1. find \(\angle BFA\).[3]
  2. show that \(\triangle ADF\) is an isosceles triangle, and hence find \(\angle CDF\).[3]
  3. find \(\angle AEF\). State your reasons clearly.[2]

Solution:

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Answer:(i) \(78.5^\circ\) (ii) \(33.5^\circ\) (iii) \(101.5^\circ\)

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