4MA0 Foundation January 2018 Paper 1 Q11
11

Diagram NOT accurately drawn
\(ABC\) and \(DBE\) are straight lines.
(a) Find the size of angle \(x\). (1)
(b)
(i) Work out the size of angle \(y\).
(ii) Give a reason for your answer.
(2)\(BC = BE\)
(c) Work out the size of angle \(z\). (2)
| Scheme | Marks |
|---|---|
| 38 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| (i) 142 | B1 |
| (ii) The angles on a straight line add up to 180° | B1 |
| (2) |
Notes
B1: dep on seeing correct answer or correct method in (bi)
accept angles around a point (accept circle) add up to 360° or vertically opposite angles
| Scheme | Marks |
|---|---|
| \(0.5 \times 142\) or \(0.5 \times (180 - 38)\) | M1 |
| 71 | A1 |
| (2) |
Notes
M1: for a fully correct method to find angle \(z\)
A1: ft ½ × ‘angle y’ from (b)(i)