Higher June 2019 Paper 5 Q9
9 An interior angle of an isosceles triangle is \(p\)° and an exterior angle is \(q\)°.

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It is given that \(q = 5p\).
(a) Write the ratio \(p : q\) in its simplest form. [2]
(b) Work out the two different possible sets of angles for the isosceles triangle. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 1 : 5 | 2 | B1 for [1]\(k\) : \(5k\) with both values numeric | e.g. B1 for 0.2 : 1, 30: 150 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 30, 75, 75 and 30, 30, 120 | 4 | B3 for 30, 75, 75 or 30, 30, 120 or B2 for \(p = 30\) or M1 for 180 ÷ (1 + 5) FT their (a) If 0 scored, SC2 for 150, 15, 15 | Accept each set in any order Could be on diagram |