4400 Higher November 2005 Paper 3 Q5

EdexcelHigherOld spec5 marksAngles (Including Parallel Lines)

5

Trapezium ABCD with AB parallel to DC, AD = DC, diagonal AC; angle BAC = 18 degrees, angle ABC = 20 degrees

Diagram NOT accurately drawn

\(ABCD\) is a trapezium.
\(AB\) is parallel to \(DC\).
Angle \(BAC = 18^\circ\).
Angle \(ABC = 20^\circ\).
\(AD = DC\).

Calculate the size of angle \(ADC\).
Give a reason for each step in your working.

(5)