Foundation June 2023 Paper 1R Q10
10 The diagram shows quadrilateral \(ABCD\)
Diagram NOT accurately drawn
\(ECD\), \(BCF\) and \(GAD\) are straight lines.
Work out the value of \(x\)
Give a reason for each stage of your working.
(5)
| Scheme | Marks |
|---|---|
| \(BCD\) = 108 | M1 |
| eg 360 – (“108” + 135 + 54) (= 63) or 360 – 297 (= 63) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 117 | A1 |
| (i) Vertically opposite angles are equal Vertically opposite angles are equal (ii) Angles in a quadrilateral sum to 360° or angles in a quadrilateral sum to 360° Accept “4-sided shape” (iii) Angles on a straight line add to 180° or angles on a straight line add to 180° | B2 |
| (5) | |
| (5 marks) |
Notes
M1: for angle \(BCD\) = 108
can be seen on diagram
M1: for method to find angle \(BAD\)
can be seen on diagram
(63 or 297 implies the previous M1)
A1: for 117
can be seen on diagram
B2: (dep on M1) for two correct reasons for their method
(B1 (dep on M1) for 1 correct reason for their method)