Foundation November 2024 Paper 1 Q21
21 \(ABCD\) is a parallelogram.
All angles are measured in degrees.
Find an expression, in terms of \(e\), for the size of angle \(CAD\).
Give a reason for each stage of your working. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| \(180 - 4e\) and reason | M1 | for angle \(ACD = e\) or for angle \(ADC\) + angle \(BAD = 180\) or for angle \(BAX = 3e\) (where \(X\) lies on \(DA\) extended) |
| A1 | for \(180 - 4e\) oe | |
| C1 | (dep M1) for an appropriate reason relating to parallel lines from alternate angles are equal or allied angles / co-interior angles add up to 180 or for corresponding angles are equal |
Additional guidance
Angles must be clearly labelled on the diagram or otherwise identified
May be unsimplified
Underlined words need to be shown
Reason needs to be linked to their method, which can be implied from correctly identified angles (stated or written on the diagram)