4MA0 Foundation June 2014 Paper 2R Q23

EdexcelFoundationOld spec5 marksAngles (Including Parallel Lines)Angles in Polygons

23 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

(a) Work out the value of \(x\) and the value of \(y\). (4)

(b) Find the size of angle \(BAD\). (1)

Mark scheme (a)

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)

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

In this part a correct answer does not on its own imply a correct method.

Scheme	Marks
42	B1
	(1)
	(Total 5 marks)