Numeracy Foundation November 2017 Unit 1 Q9
9. A number of paths are to be laid to join three new office buildings.
A sketch of the architect’s plan is shown below.
Diagram not drawn to scale
The architect has shown a number of the angles in his planning for the new paths.
Calculate the size of each of the angles \(a\), \(b\), \(c\) and \(d\). [4]
\(a\) = ………… ° \(b\) = ………… ° \(c\) = ………… ° \(d\) = ………… °
| Scheme | Marks | Comments |
|---|---|---|
| a = 113° | B1 | FT throughout |
| b = 108° | B1 | FT 360 – 67 – 72 – 'their a', or 221 – 'their a' (Check if a + b = 221) |
| c = 51° | B1 | FT 180 – 21 – 'their b', or 159 – ‘their b’ (Check if b + c = 159) |
| d = 51° | B1 | FT for ‘their d’ = ‘their c’ provided c ≠ 90° and c ≠ 180° or any other multiple of 90° |