Foundation June 2017 Paper 3 Q24

AQACurrent spec7 marksAngles (Including Parallel Lines)

24 \(AB\), \(CD\) and \(EF\) are straight lines.

Line EF crosses line AB and line CD. Where EF crosses AB the angle between F and B is 2x + 10° and the angle between A and E is w. Where EF crosses CD the angle between F and D is 3x − 20° and the angle between E and D is y

Not drawn accurately

(a) Ava assumes that \(AB\) and \(CD\) are parallel.

What answer should she get for the size of angle \(y\)? [4 marks]

(b) In fact,

\(AB\) and \(CD\) are not parallel
angle \(w\) is \(60^\circ\)

What effect does this have on the size of angle \(y\)?

Tick a box.

  • \(y\) is bigger
  • \(y\) is the same
  • \(y\) is smaller

Show working to support your answer. [3 marks]

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