Foundation June 2025 Paper 1R Q7

EdexcelCurrent spec5 marksAngles (Including Parallel Lines)Angles in Polygons

Straight lines AEC and BED cross at E. Angle AEB is marked x° and angle DEC is 58°

Diagram NOT accurately drawn

\(AEC\) and \(BED\) are straight lines.

Sergio says that the value of \(x\) is 58

(a) Give a reason why Sergio is correct. (1)

In the diagram, \(GHIJ\) is a quadrilateral.

Quadrilateral GHIJ with angle J = 90°, angle GHI = 163°, angle HIJ = 47°. Line FG is drawn from G, and angle FGJ = 110°

Diagram NOT accurately drawn

Chloe says “\(FGH\) is a straight line”

(b) Show that Chloe is wrong.
Give a reason for each stage of your working. (4)

Scheme	Marks
Reason given	B1
	(1)

Mark scheme (b)

Scheme	Marks
(\(JGH\) =) 360 – 163 – 90 – 47 (= 60) or (\(JGH\) =) 180 – 110 (= 70)	M1
Correct answer scores full marks (unless from obvious incorrect working)	A1
	B1
	B1
	(4)
	(5 marks)

Notes

M1: for a method to find angle \(JGH\) either using the quadrilateral or
assuming line \(FGH\) is straight

A1: (110 + 60 =) 170 or
110 + 60 \(\neq\) 180 or
(180 – 60 =) 120 or
(70 + 163 + 90 + 47 =) 370 or
70+ 163 + 90 + 47 \(\neq\) 360 or
for (180 – 110 =) 70 and (360 – 163 – 90 – 47 =) 60

B1: angles on a straight line add to 180°
or
angles on a straight line add to 180°

B1: angles in a quad(rilateral) add up to 360
or
angles in a quad(rilateral) add up to 360 (Accept 4-sided shape)