Higher June 2017 Paper 3 Q10

AQACurrent spec7 marksAngles (Including Parallel Lines)

10 AB, CD and EF are straight lines.

Line EF crosses lines AB and CD. At the crossing with AB, the angle above AB on the B side of EF is 2x + 10 degrees and the angle below AB on the A side is w. At the crossing with CD, the angle above CD on the D side is 3x - 20 degrees and the angle below CD on the D side 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°

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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