Foundation January 2019 Paper 2R Q23
23
Diagram NOT accurately drawn
Pentagon \(ABCDE\) is drawn inside the regular octagon \(ABFGHIJK\).
The pentagon has exactly one line of symmetry.
Work out the value of \(x\).
(4)
| Scheme | Marks |
|---|---|
360 ÷ 8 (= 45 ) or 180 – (360 ÷ 8) (= 135) or \(\dfrac{6 \times 180}{8}\) (= 135) oe | M1 |
e.g. \(\dfrac{540 - 112 - 112 - 84}{2}\) (=116) or \(\dfrac{540 - 308}{2}\) (= 116) or \(\dfrac{232}{2}\) (= 116) | M1 |
| e.g. ‘135’ – ‘116’ or 180 – ‘116’ – ‘45’ | M1 |
| 19 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: Correct method to find the interior or exterior angle of octagon
M1: Correct method to find a missing angle from pentagon
M1: Complete method