Foundation June 2019 Paper 3 Q10
10 In rectangle \(ABCD\)
triangle \(ABE\) is equilateral
triangle \(CDE\) is isosceles, with \(CE = DE\)
Not drawn accurately
Work out the size of angle \(x\). [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(180 \div 3\) or 60 | M1 | |
| \(90 -\) their 60 or 30 | M1dep | |
| \(180 - 65 -\) their 30 | M1dep | 85 marked on \(AED\) |
| 85 | A1 | |
| Alternative method 2 | ||
| \(90 - 65\) or 25 | M1 | |
| \(180 - 2 \times (90 - 65)\) or \(2 \times 65\) or \(180 - 2 \times\) their 25 or 130 | M1dep | |
| \((360 - (180 \div 3) -\) their \(130) \div 2\) or \(170 \div 2\) | M1dep | 85 marked on \(AED\) |
| 85 | A1 | |
Additional guidance
| Correct angles could be marked on diagram | |
| 85 on answer line with no working or angles marked on diagram | M1M1M1A1 |
| 60, 30, 25 or 130 on answer line with no working and not marked correctly on diagram | M0 |
| On Alt 1, 60 with no working and incorrectly marked on diagram | M0 |