Geometry Constructions: Bisectors in a Quadrilateral

A quadrilateral \(ABCD\) has \(\angle BAD=115{}^\circ \), \(AB=7\) cm, \(AD=5\) cm, \(BC=8\) cm and \(CD=10\) cm.

1. Complete accurately the quadrilateral \(ABCD\) in the space above.
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
2. Measure and write down the \(\angle BCD\).
3. Construct
   1. the perpendicular bisector of \(AB\),
   2. the angle bisector of \(\angle BAD\).
4. The perpendicular bisector of \(AB\) meets the angle bisector of \(\angle BAD\) at \(E\). Mark the
   point \(E\) and write down the length of \(AE\).