Foundation June 2023 Paper 1 Q21
21.
Diagram not drawn to scale
The diagram shows a quadrilateral.
Use algebra to find the size of the exterior angle \(y\). [5]
\(y\) = ………… °
| Scheme | Marks | Comments |
|---|---|---|
| \((x =)\ \frac{360 - 290}{2}\) oe | M2 | Check diagram M1 for \(x + 75 + x + 70 + 85 + 60 = 360\) oe May be in stages e.g. 60 + 85 = 145, 360 − 145 = 215, \(2x + 145 = 215\) |
| \(x = 35\) | A1 | Implied by 105 on the diagram. |
| \(y = 180 - (35 + 70)\) or \(x + 70 = 180 - y\) | m1 | FT ‘their derived 35’ provided it is less than 110 and M2 previously awarded. |
| \(y = 75\) | A1 | FT |
| (5) |