Higher June 2023 Paper 1R Q15
15
Diagram NOT accurately drawn
\(BCDEFG\) is a hexagon.
\(AB\), \(BC\) and \(CD\) are three sides of a regular \(n\)-sided polygon.
Calculate the value of \(n\)
Show your working clearly.
(4)
| Scheme | Marks |
|---|---|
| eg (6 − 2) × 180 (= 720) | M1 |
| eg "720" − (90 + 95 + 149 + 104 + 57) (= 225) | M1 |
eg \(\dfrac{360}{\text{``}225\text{''} - 180}\) or \(\dfrac{360}{\text{``}45\text{''}}\) or \(\dfrac{180(n - 2)}{n} = 360 - \text{``}225\text{''}\) oe or \(\dfrac{180(n - 2)}{n} = \text{``}135\text{''}\) | M1 |
| Working required Answer: 8 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: for a method to find the sum of the interior angles for a hexagon
M1: for a method to find the missing angle in the hexagon
M1: for a complete method
A1: cao dep on M2
NB: the answer of 8 can be gained from assuming that \(AB\) splits reflex \(GBC\) into 2 equal angles – without gaining the first 2 method marks [M0M0 is awarded]
Award SCB1 for the student who gains an answer of 8 from this assumption or trial and improvement or no method shown