4400 Higher November 2007 Paper 4 Q6

EdexcelHigherOld spec4 marksAngles (Including Parallel Lines)

6

Parallel lines AB and CD crossed by straight lines PQ and PR meeting at P; 57 degrees between AB and PQ, x degrees between CD and PQ, y degrees at the crossing of AB and PR, 109 degrees between CD and PR

Diagram NOT accurately drawn

\(AB\) and \(CD\) are parallel straight lines.
\(PQ\) and \(PR\) are straight lines.

(a)
(i) Find the value of \(x\).
(ii) Give a reason for your answer. (2)
(b) Find the value of \(y\).
Give a reason for each step in your working. (2)