1MA0 Foundation November 2014 Paper 1 Q22
*22
Diagram NOT accurately drawn
\(ABC\) is parallel to \(EFGH\).
\(GB = GF\)
Angle \(ABF = 65^\circ\)
Work out the size of the angle marked \(x\).
Give reasons for your answer. (4)
| Answer | Mark | Notes |
|---|---|---|
| 130 + correct reasons | 4 | M1 for angle \(BFG = 65\) (may be seen on diagram) M1 (dep) for correct method to calculate \(x\) eg (\(x =\)) \(65 + 65\) (= 130) or (\(x =\)) \(180 - (180 - 2 \times 65)\) (= 130) C2 for \(x = 130\) and full appropriate reasons related to method shown (C1 (dep on M1) for any one appropriate reason related to method shown) eg alternate angles are equal; base angles in an isosceles triangle are equal; angles in a triangle add up to \(180^\circ\); angles on a straight line add up to \(180^\circ\); exterior angle of triangle = sum of two interior opposite angles co-interior angles (allied angles) add up to \(180^\circ\) |