4400 Higher June 2006 Paper 4 Q1
1 In the diagram, \(ABC\) and \(ADE\) are straight lines.
\(CE\) and \(BD\) are parallel.
\(AB = AD\).
Angle \(BAD = 38^\circ\).

Diagram NOT accurately drawn
Work out the value of \(p\).
Give a reason for each step in your working.
(4)
| Scheme | Marks |
|---|---|
| \(\frac{1}{2}(180 - 38)\) | M1 |
| 71 seen | A1 |
| Isosceles | B1 |
| Corresponding | B1 |
| (4) | |
| (4 marks) |
Notes
A1: Allow on diag
B1: or ∠s on st line & interior ∠s. Not “F” or vert opp ∠s & alt ∠s