1MA0 Higher June 2015 Paper 1 Q12
*12
Diagram NOT accurately drawn
\(ABC\), \(DEF\) and \(PQRS\) are parallel lines.
\(BEQ\) is a straight line.
Angle \(ABE = 60^\circ\)
Angle \(QER = 80^\circ\)
Work out the size of the angle marked \(x\).
Give reasons for each stage of your working. (4)
| Answer | Mark | Notes |
|---|---|---|
| \(40^\circ\) with reasons | 4 | M1 for finding one related angle using parallel lines A1 for \(x = 40(^\circ)\) C2 for full reasons linked to appropriate method eg. alternate angles are equal and angles in a triangle add up to \(180^\circ\) eg. angles on a straight line add up to \(180^\circ\) and corresponding angles are equal and alternate angles are equal eg. co-interior (allied) angles add up to \(180^\circ\) and exterior angle of a triangle is equal to sum of interior opposite angles Other solutions may include reasons such as: vertically opposite angles are equal the sum of angles at a point is equal to \(360^\circ\) (C1 (dep on M1) for one appropriate reason linked to parallel lines) |