4MA0 Foundation January 2016 Paper 2R Q23
23
Diagram NOT accurately drawn
\(AB\) is parallel to \(CD\)
\(EF\) is a straight line.
(a)
(i) Find the value of \(x\)
(ii) Give a reason for your answer.
(2)Here is a pentagon.
Diagram NOT accurately drawn
(b) Work out the value of \(y\). (3)
| Scheme | Marks |
|---|---|
| (i) Answer: 57 | B1 |
| (ii) Answer: Corresponding angles | B1 |
| (2) |
Notes
B1: For correct reason
| Scheme | Marks |
|---|---|
| (5 – 2) × 180 or 3 × 180 or (2 × 5 − 4) × 90 or 6 × 90 or 360 + 180 or 540 | M1 |
| ‘540’ – (86 + 142 + 72 + 115) oe | M1 |
| 125 | A1 |
| (3) | |
| Total 5 marks |
Notes
M1: for correct method to find total of angles in a pentagon or
M1: (dep) fully correct method to find \(y\)
A1: cao
Alternative method (exterior angles)
| Scheme | Marks |
|---|---|
| 360 – (“94” + “38” + “108” + “65”) (=55) or 360 – 305 (=55) | M1 |
| 180 – “55” | M1 |
| 125 | A1 |
Notes
M1: if just values seen then condone one error in exterior angles
M1: (dep) fully correct method to find \(y\)
A1: cao