Foundation June 2025 Paper 2 Q8

EdexcelCurrent spec3 marksAngles (Including Parallel Lines)

Straight lines ABC and EBD cross at B. Angle ABE is 104°. Triangle BCD has BD = BC, marked with dashes, and angle BDC is x°

Diagram NOT accurately drawn

\(ABC\) and \(EBD\) are straight lines.
Triangle \(BCD\) is isosceles with \(BD = BC\)

Angle \(ABE = 104^\circ\)

Work out the value of \(x\)

(3)

Mark scheme

Scheme	Marks
\(DBC = 104\) or 180 – 104 (= 76)	M1
\(\dfrac{180 - 104}{2}\) oe or \(\dfrac{76}{2}\) oe	M1
Working not required, so correct answer scores full marks (unless from obvious incorrect working) Answer: 38	A1
	(3)
	(3 marks)

Notes

M1: for correctly finding \(DBC\) or \(EBC\) or \(ABD\)
May be seen on the diagram
This is not awarded if the angles are incorrectly assigned
(Ignore incorrect angles on the diagram if a student shows 38 on the answer line)

A1: cao