4400 Higher November 2005 Paper 3 Q5
5

Diagram NOT accurately drawn
\(ABCD\) is a trapezium.
\(AB\) is parallel to \(DC\).
Angle \(BAC = 18^\circ\).
Angle \(ABC = 20^\circ\).
\(AD = DC\).
Calculate the size of angle \(ADC\).
Give a reason for each step in your working.
(5)
| Scheme | Marks |
|---|---|
| ∠ACD = 18° | B1 |
| alternate angles | B1 |
| 180 − 2 × “18” | M1 |
| isosceles Δ and ∠ sum of Δ | B1 |
| 144 | A1 |
| (5) | |
| (5 marks) |
Notes
B1: stated or shown on diagram
B1: for both
A1: ft from “18”