Foundation January 2019 Paper 2R Q14

Diagram NOT accurately drawn

\(ABC\), \(DECF\) and \(EBG\) are straight lines.

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

(4)

Mark scheme

Scheme	Marks
75 + (180 – 123) or 180 – (75 + (180 – 123))	M1
132°	A1
e.g. Vertically opposite angles are equal. Angles on a straight line add up to 180° Angles in a triangle add up to 180° Or Vertically opposite angles are equal Angles on a straight line add up to 180° exterior angle of a triangle is equal to the sum of the opposite interior angles Answer: 132 and a full set of reasons for method used	B2
	(4)
	(4 marks)

M1: Correct method to find angle \(x\)

A1: Correct value for \(x\)

B2: For a correct full set of reasons for the method used
B1 for two correct reasons for a method used.