1MA0 Higher June 2017 Paper 2 Q5
*5
Diagram NOT accurately drawn
\(AGC\) and \(DEF\) are parallel lines.
\(ADB\) and \(GE\) are parallel lines.
\(BEC\) is a straight line.
Angle \(DBE = 95^\circ\)
Angle \(CGE = 55^\circ\)
Work out the size of the angle marked \(x\).
Give reasons for each stage of your working. (4)
| Answer | Mark | Notes |
|---|---|---|
| \(x = 30^\circ\) with complete reasons | 4 | M1 for a correct first step, eg angle \(GED = 55\) or angle \(GAD = 55\) or angle \(EGA = 180 - 55\) (= 125) A1 for 30 C2 for 30 with full reasons, appropriate to their given method eg alternate angles are equal and corresponding angles are equal and angles on a straight line add up to 180 eg corresponding angles are equal and angles in a triangle add up to 180 and alternate angles are equal (C1 (dep on at least M1) for one appropriate reason relating to parallel lines or opposite angles of a parallelogram) |