Foundation November 2020 Paper 2R Q7

EdexcelCurrent spec4 marksAngles (Including Parallel Lines)

7 The diagram shows a trapezium \(ABCD\) in which \(AB\) and \(DC\) are parallel.

Trapezium ABCD with AB parallel to DC and diagonal DB; angle DAB is x degrees, angle DBC is 104 degrees, angle BCD is 42 degrees; AB and DB are marked equal

Diagram NOT accurately drawn

\(AB = DB\)

Work out the value of \(x\).
Give a reason for each stage of your working.

(4)

Mark scheme

Scheme	Marks
180° − (104° + 42°) (= 34°) or \(\dfrac{180^\circ - \text{‘}34^\circ \text{’}}{2}\)	M1
73	A1
Angles in a triangle sum to 180° or (angles in a triangle sum to 180°) Angle \(BDC\) and angle \(DBA\) are alternate angles Base angles in an isosceles triangle are equal or (Allied / co-interior angles add up to 180°) Answer: correct reasons	B2
	(4)
	(4 marks)

Notes

M1: for one correct stage

A1: for 73

B2: dep fully correct method.
for all correct reasons for the method used
NB allied angles may not be needed if using \(ABD\) sum to 180°
(B1 dep M1 for one correct reason)