4MA0 Foundation June 2014 Paper 2R Q13
13 In the diagram, the straight line \(AZB\) is parallel to the straight line \(CYD\).
\(XYZ\) and \(MYN\) are straight lines.
Diagram NOT accurately drawn
(a) Write down the mathematical name of an angle with size \(120^\circ\) (1)
(b)
(i) Write down the size of the angle marked \(a\).
(ii) Give a reason for your answer.
(2)(c) Work out the size of the angle marked \(b\). (2)
| Scheme | Marks |
|---|---|
| Obtuse | B1 |
| (1) |
Notes
B1: (no mark code printed in the mark scheme; the mark is 1)
| Scheme | Marks |
|---|---|
| (i) Answer: 27 | B1 |
| (ii) Answer: Vertically opposite | B1 |
| (2) |
Notes
B1: (Vertically) opposite angles are equal
| Scheme | Marks |
|---|---|
| Angle \(ZYD\) = 180 − 120 − 27 | M1 |
| 33 | A1 |
| (2) | |
| (Total 5 marks) |
Notes
M1: for 180 − 120 − '27' or angle \(ZYD\) = 180 − 120 − '27' or angle \(CYZ\) = 120 + 27 or angle \(CYX\) = 180 − 120 − 27