Numeracy Foundation June 2025 Unit 2 Q9
9. New roads are being built in a town.
The plan below shows the roads and the size of some of the angles between them.

Diagram not drawn to scale
Calculate the size of each of the angles \(a\), \(b\), \(c\) and \(d\). [4]
\(a\) = …………… ° \(b\) = …………… ° \(c\) = …………… ° \(d\) = …………… °
| Scheme | Mark | Comments |
|---|---|---|
| No FT for an angle of 0°, 90°, 180° and 360° | ||
| (a =) 65 (°) | B1 | |
| (b =) 115 (°) | B1 | FT 180 – ‘their a’ |
| (c =) 115 (°) | B1 | FT ‘their b’ |
| (d =) 80 (°) | B1 | FT 145 – ‘their a’, provided ‘their a’ ≠ 72.5° |