4MA0 Higher June 2014 Paper 4R Q9

EdexcelHigherOld spec4 marksAngles (Including Parallel Lines)

9 The diagram shows a parallelogram \(ABCD\).
In the diagram, all the angles are in degrees.

Parallelogram ABCD with angle A = x + 24, angle B = x + 2y and angle C = 4x - 30

Diagram NOT accurately drawn

Work out the value of \(x\) and the value of \(y\).

(4)

Mark scheme

Scheme	Marks
\(x + 24 = 4x - 30\)	M1
\(x = 18\)	A1
\(x + 2y + x + 24 = 180\) or \(x + 2y + 4x - 30 = 180\) or \(x + 2y + 4x - 30 + x + 24 + x + 2y = 360\)	M1
\(y = 60\)	A1
	(4)
	(4 marks)

Notes

M1: for forming a correct equation in \(x\)

A1: cao

M1: for forming a correct equation in \(x\) and \(y\) or a correct equation in \(y\)
(NB. Their found value of \(x\) (which may not be correct) may be substituted)

A1: cao