4MA0 Foundation January 2012 Paper 2 Q12 – Westie's Workshop

4MA0 Foundation January 2012 Paper 2 Q12

EdexcelFoundationOld spec4 marksAngles (Including Parallel Lines)Angles in Polygons

12

Quadrilateral ABCD with diagonal BD; AB, BD and AD marked equal, CB and CD marked equal, angle BCD = 78°

Diagram NOT accurately drawn

The diagram shows a quadrilateral \(ABCD\).
\(AB = BD = AD\).
\(CB = CD\).
Angle \(BCD = 78^\circ\)

Work out the size of angle \(ABC\).

(4)

Mark scheme

Scheme	Marks
(\(\angle ABD =\)) 60°	B1
(\(\angle DBC =\)) \(\dfrac{180^\circ - 78^\circ}{2}\)	M1
51°	A1
111	A1
	(4)
	(Total 4 marks)

Notes

B1: May be stated or marked on diagram

A1: May be stated or marked on diagram

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