4MA0 Foundation January 2013 Paper 1 Q7

EdexcelFoundationOld spec6 marksAngles (Including Parallel Lines)

7

Quadrilateral ABCF with reflex angle 315° and angle y° at A, angle x° at C, lines BCE and FCD crossing at C with angle 32°, triangle CDE with angle z° at D

Diagram NOT accurately drawn

\(BCE\) and \(FCD\) are straight lines.
\(CD = CE\)

(a)
(i) Find the value of \(x\).
(ii) Give a reason for your answer.
(2)
(b)
(i) Work out the value of \(y\).
(ii) Give a reason for your answer.
(2)
(c) Work out the value of \(z\). (2)