4MA0 Foundation June 2012 Paper 2 Q10

10 \(AC\), \(BD\) and \(EDC\) are straight lines.

Triangle with lines AC and BD crossing near the top; angle 62° between A and B, x° below the crossing; at D on EDC the angle EDB is 136° and y° is inside the triangle; z° is the reflex angle at C

Diagram NOT accurately drawn

(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)