4MA0 Foundation January 2016 Paper 2 Q14

EdexcelFoundationOld spec3 marksAngles (Including Parallel Lines)

14

Triangle ACE with B on AC and D on EC; BD parallel to AE; angle EAC = 40°, angle ACE = 30°, angle x is angle BDC

Diagram NOT accurately drawn

ABC and EDC are straight lines.
AE is parallel to BD.
Angle EAC = 40°
Angle ACE = 30°

Work out the size of angle \(x\).
Give reasons for your answer.

(3)