Foundation November 2019 Paper 3 Q29
29 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
For the first P1: Angles may be shown on the diagram.
Any angle labelled correctly as 63 and not contradicted scores this mark
For the second P1: Exterior = 108 or interior = 72 does not score the mark
An answer of 45 with no supporting working scores 0