Foundation June 2023 Paper 2 Q18
18 In the diagram, line AB is parallel to line ED.
The points A, C and D lie on a straight line.
The points B, C and E lie on a straight line.
Not to scale
Angle BCA = \(45^\circ\), angle ABC = \(x^\circ\) and angle CDE = \(y^\circ\).
The ratio \(x : y\) is 3 : 2.
Work out the value of \(x\). [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 81 | 4 | B1 for 135 AND M2 for their \((180 - 45) \div (3 + 2)\) [\(\times k\)] oe (\(k\) = 1, 2 or 3) or M1 for \(x + y =\) their \((180 - 45)\) or ECD = 45 or DEC = \(x\) or BAC = \(y\) | May be seen on diagram e.g. DCB, ECA Implied by 54 |