Foundation January 2023 Paper 2 Q15

EdexcelFoundationCurrent spec4 marksAngles (Including Parallel Lines)

15 The diagram shows two parallel lines \(AB\) and \(DEF\)

Parallel lines AB and DEF, with a straight line from B through E to G and a line BC from B; angle DEG is 73 degrees, angle EBC is 124 degrees and angle ABC is w degrees

Diagram NOT accurately drawn

\(BEG\) is a straight line.

angle \(DEG = 73^\circ\) angle \(EBC = 124^\circ\) angle \(ABC = w^\circ\)

Work out the value of \(w\)
Give reasons for each stage of your working.

(4)

Mark scheme

Scheme	Marks
angle \(ABE\) = 73 or angle \(BEF\) = 73 or angle \(GEF\) = 180 – 73 (=107) or angle \(DEB\) = 180 – 73 (=107) or 360 – 73 – 124 or 180 – (124 – “107”)	M1
A correct angle scores 2 marks Answer: 163	A1
	B2
	(4)
	(4 marks)

Notes

M1: could be on diagram

B2: dep on M1 and a complete method
for all reasons appropriate for their method
(B1 dep on M1 for one reason appropriate for their method)
eg
Angles on a straight line sum to 180°
Angles on a straight line sum to 180°
Vertically opposite angles are equal.
Vertically opposite angles are equal.
Corresponding angles are equal.
Alternate angles are equal
Allied angles sum to 180° (or co-interior angles)
Angles at a point (or full turn) add up to 360° (or angles at a point)