4MA0 Higher January 2016 Paper 4 Q5

EdexcelHigherOld spec3 marksAngles (Including Parallel Lines)

5

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

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)