4MA0 Foundation June 2013 Paper 1 Q16
16
Diagram NOT accurately drawn
\(ABCDEF\) is a hexagon.
\(G\) is a point on \(AF\).
\(H\) is a point on \(BC\).
\(GH\) is parallel to \(AB\).
(a) Give a reason why \(x = 107\) (1)
(b) Work out the value of \(y\). (4)
| Scheme | Marks |
|---|---|
| corresponding (angle(s)) | B1 |
| (1) |
Notes
B1: oe eg \(x\) corresponds to angle \(A\); corresponding to angle \(A\)
| Scheme | Marks |
|---|---|
| \((6 - 2) \times 180\) or \(4 \times 180\) or \((2 \times 6 - 4) \times 90\) or \(8 \times 90\) or \(120 \times 6\) or \((180 - 60) \times 6\) or \(360 + 360\) | M1 |
| 720 | A1 |
| “720” \(- (107 + 134 + 142 + 92 + 123)\) or “720” \(- 598\) | M1 |
| 122 | A1 |
| (4) |
Notes
M1: or \(360 - (73 + 46 + 38 + 88 + 57)\)
Condone one incorrect ext angle
A1: M1 A1 for 720 seen or M1 A1 for 58 seen
M1: dep on first M1
or \(180 -\) “58”