4MA0 Foundation January 2014 Paper 2R Q11

EdexcelFoundationOld spec5 marksAngles (Including Parallel Lines)

11

Triangles ADB and AEB with ABC a straight line and AD parallel to BE; angles 36, 95 and 28 degrees and x, y, z marked

Diagram NOT accurately drawn

\(ADB\) and \(AEB\) are triangles.
\(ABC\) is a straight line.
\(AD\) is parallel to \(BE\).

(a)
(i) Find the value of \(x\).
(ii) Give a reason for your answer.
(2)
(b) Find the value of \(y\). (1)
(c) Find the value of \(z\). (2)