1MA0 Foundation June 2016 Paper 2 Q25

*25

Diagram NOT accurately drawn

ABC and DE are parallel lines.
AEG and BEF are straight lines.
Angle \(AED = 54^\circ\)
Angle \(FEG = 70^\circ\)

Work out the size of the angle marked \(x\).
Give a reason for each stage of your working. (4)

Mark scheme

Answer	Mark	Notes
\(124^\circ\) with reasons	4	M1 for a method to find any angle eg. angle DEF = \(180 - 70 - 54\) (= 56) or angle AEB = 70 or angle EAB = 54 or angle GEB = \(180 - 70\) (= 110) A1 for \(x = 124\) NB: Angles may be shown on the diagram C2 for full reasons, appropriate to their given method, with no additional reasons (C1 for one appropriate reason relating to parallel lines) Possible reasons: corresponding angles are equal; alternate angles are equal co-interior (allied) angles add up to 180; angles on a straight line add up to 180; angles in a triangle add up to 180 vertically opposite angles are equal; the exterior angle of a triangle is equal to the sum of the interior opposite angles; angles at a point add up to 360;