Foundation June 2021 Paper 1 Q11
11 The diagram shows a square \(ABCD\) and a regular pentagon \(CDEFG\).
Diagram NOT accurately drawn
Work out the size of the angle marked \(x\).
(3)
| Scheme | Marks |
|---|---|
| [interior angle of pentagon =] 540 ÷ 5 (= 108) oe or [exterior angle of pentagon =] 360 ÷ 5 (= 72) | M1 |
| 360 – (90 + “108”) or 90 + “72” or 180 – (“108” – 90) oe | M1 |
| Working not required, so correct answer scores full marks (unless from obvious incorrect working) Answer: 162 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: for a correct calculation for an interior or an exterior angle of a regular pentagon
M1: for a fully correct method
“108” or “72” must come from correct working and be used correctly