Foundation November 2020 Unit 1 Q8
8. C is a point on the straight line AB.
Diagram not drawn to scale
The straight line drawn at C makes two different angles above the line AB.
One angle is twice the size of the other angle.
Calculate the size of each of the two angles. [3]
The two angles are …………… ° and …………… °
| Scheme | Marks | Comments |
|---|---|---|
| 1/3 × 180(°) OR 2/3 × 180(°) or equivalent | M1 | |
| 60(°) OR 120(°) | A1 | A1 for either 60(°) OR 120(°) |
| (180 – 60 =) 120 (°) OR (180 – 120 =) 60 (°) | B1 | FT ‘their 60’ or ‘their 120’. Two angles which add to 180(°) will get this B1. If no marks award SC1 for one angle twice the size of the other. |
Alternative Method
| Scheme | Marks | Comments |
|---|---|---|
| \(2x + x = 180\) (°) or \(3x = 180\) (°) | M1 | |
| \(x = 60\) (°) | A1 | |
| \(2x = 120\) (°) | B1 | FT 2 × ‘their \(x\)’ or 180 – ‘their \(x\)’ |