Higher November 2019 Paper 3 Q8
8 The diagram shows a regular pentagon and a parallelogram.
Work out the size of the angle marked \(x\).
You must show all your working. (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| 45 | P1 | for \(180 - 117\ (= 63)\) or states, or uses, exterior angle + \(x = 117\) |
| P1 | for process to find the exterior or the interior angle of the pentagon, eg \(360 \div 5\ (= 72)\) or \(180 - (360 \div 5)\ (= 108)\) or \(((5 - 2) \times 180) \div 5\ (= 108)\) | |
| P1 | for a complete process to find \(x\), eg \(180 - \text{``}72\text{''} - \text{``}63\text{''}\) or \(\text{``}108\text{''} - \text{``}63\text{''}\) or \(117 - \text{``}72\text{''}\) | |
| A1 | cao |
Additional guidance
Angles may be shown on the diagram.
Any angle labelled correctly as 63 and not contradicted scores this mark
Exterior = 108 or interior = 72 does not score the mark
An answer of 45 with no supporting working scores 0