Higher June 2024 Paper 1 Q5
5 In the diagram, \(ABCDE\) is a regular pentagon.
Diagram NOT accurately drawn
Angle \(AEF = 96^\circ\)
Work out the size of the obtuse angle \(FED\)
Show your working clearly.
(4)
| Scheme | Marks |
|---|---|
| (5 – 2) × 180 (= 540) or 360 ÷ 5 (= 72) | M1 |
\(\dfrac{\text{``}{540}\text{''}}{5}\)(= 108) or 180 – “72” (= 108) or 180 – 96 (= 84) | M1 |
| “72” + “84” or 360 – (96 + “108”) or 180 – (“108” – “84”) | M1 |
| Working required Answer: 156 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: NB If angles are on the diagram they must be from correct working and correctly assigned
M1: for a complete method
A1: dep on M2