Foundation November 2023 Paper 2 Q19

EdexcelCurrent spec4 marksAngles (Including Parallel Lines)Angles in Polygons

19 The diagram shows a quadrilateral \(ABDE\) and an equilateral triangle \(BCD\).

Quadrilateral ABDE joined along BD to equilateral triangle BCD; angle ABD is a right angle, angle AED is 132 degrees, angle EAB is marked x, and arrows show CB parallel to DE

\(CB\) is parallel to \(DE\).

Angle \(AED\) = 132°

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

Mark scheme

Answer	Mark	Mark scheme
78	M1	for finding one angle within the triangle is \(180 \div 3\ (= 60)\)
	M1	for method to use parallel lines, eg \(BDE = DBC\) or \(BCD + CDE = 180\)
	C2	(dep M2) for (\(x =\)) 78 with a correct reason relating to parallel lines and one other correct reason given, with no unused reasons.
	(C1	(dep M1) for one correct reason given for their chosen method, angles in an equilateral triangle are equal alternate angles are equal angles in a quadrilateral add up to 360 angles in a triangle add up to 180 Allied angles / Co-interior angles add up to 180

Additional guidance

Angles must be clearly labelled on the diagram or otherwise identified.
Correct method can be implied from angles on the diagram if no ambiguity or contradiction.
If \(x\) is clearly identified as 78 award M2 (implied)

Underlined words need to be shown; reasons need to be linked to their method, which can be implied from correctly identified angles (stated or written on the diagram).