Foundation November 2023 Paper 2 Q12
12 The diagram shows two straight lines crossing a pair of parallel lines.

Not to scale
(a)
(i) Find the value of \(x\).
Give a geometrical reason for your answer. [2]
(ii) Find the value of \(y\).
Give a geometrical reason for your answer. [2]
(b) Find the value of \(z\). [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| (i) \(x = 59\) and alternate angles [are equal] | 2 | B1 for each | Alternative Explanation: Co-interior/Allied Angles [add to 180] and Angles on a Straight Line =180 Corresponding Angles [are equal] and Angles on a Straight Line =180 |
| (ii) \(y = 42\) and corresponding angles [are equal] | 2 | B1 for each | Alternative Explanation: Co-interior/Allied Angles [add to 180] and Angles on a Straight Line =180 Alternate Angles [are equal] and Angles on a Straight Line =180 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 101 | 2 | B1 for 79 or M1 for \(59 + 42\) oe | 79 could be seen in a correct position of the diagram but not on answer line. |