4400 Higher June 2006 Paper 4 Q1

EdexcelHigherOld spec4 marksAngles (Including Parallel Lines)

1 In the diagram, \(ABC\) and \(ADE\) are straight lines.
\(CE\) and \(BD\) are parallel.
\(AB = AD\).
Angle \(BAD = 38^\circ\).

Triangle ACE with B on AC and D on AE; BD parallel to CE; AB = AD; angle BAD = 38 degrees; angle p at C between CE and CA

Diagram NOT accurately drawn

Work out the value of \(p\).

Give a reason for each step in your working.

(4)