Higher November 2018 Paper 2 Q3

EdexcelCurrent spec4 marksAngles (Including Parallel Lines)

3 \(BEG\) is a triangle.

Parallel lines ABC (top) and DEF (bottom) with arrows. Triangle BEG with B on the top line and E on the bottom line. Angle CBG is 35 degrees, angle DEB is 110 degrees, angle GEF is 25 degrees and angle BGE is marked x

\(ABC\) and \(DEF\) are parallel lines.

Work out the size of angle \(x\).
Give a reason for each stage of your working. (4)

Mark scheme

Answer	Mark	Mark scheme
60	M1	use of parallel lines to find an angle eg \(ABE = 70\) or \(EBG = 75\) or \(EBC = 110\) or shows parts of \(x\) as 35 or 25
	M1	for a complete method to find angle \(x\); could be in working or on the diagram
	A1	for \(x = 60\)
	C1	(dep on M1) for one reason linked to parallel lines and one other reason, supported by working taken from: alternate angles are equal, allied angles / co-interior angles add up to 180, angles on a straight line add up to 180, angles in a triangle add up to 180°

Additional guidance

Parts of \(x\) should be identified on the diagram by the insertion of a dividing line through angle \(x\) (need not be identified or drawn parallel).

Correct method can be implied from angles on the diagram if no ambiguity or contradiction.

Underlined words need to be shown; reasons need to be linked to their method; any reasons not linked do not credit. There should be no incorrect reasons given.