1MA0 Higher November 2016 Paper 1 Q9
*9
Diagram NOT accurately drawn
\(ABC\) and \(EDC\) are straight lines.
\(AE\) and \(BD\) are parallel.
Angle \(ABD = 125^\circ\)
Angle \(BCD = 30^\circ\)
Work out the size of the angle marked \(x\).
Give reasons for your answer. (4)
| Answer | Mark | Notes |
|---|---|---|
| \(95^\circ\) with reasons | 4 | M1 for angle \(DBC = 180 - 125\) (= 55) or angle \(EAC = 180 - 125\) (=55) (May be on diagram) A1 for \(x = 95\) C2 (dep on M1) with full reasons for their given method, e.g. angles on a straight line add up to 180° and angles in a triangle add up to 180° and corresponding angles are equal or allied angles / co-interior angles add up to 180° and angles in a triangle add up to 180° (C1 (dep on M1) for one appropriate reason linked to parallel lines) M1 for angle \(CDB = 125 - 30\) (= 95) (May be on diagram) A1 for \(x = 95\) C2 (dep on M1) for full reasons, for their given method, e.g. exterior angles are equal to the sum of the interior opposite angles and corresponding angles are equal (C1 (dep on M1) for one of these appropriate reasons linked to parallel lines) |