Construct a quadrilateral

[ins-]

Construct a quadrilateral ABCD by given <A, <B, <C, <D and its diagonals AC and BD.

[ins-]

If it is easier for you - the problem is equivalent to:
Construct a parallelorgram ABCD with given AB=x, BC=y, containing a point P such that <APB=p1, <BPC=p2, <CPD=p3, <DPA=p4.

[ins-]

What about this problem? Is it too easy or difficult?

[Хорхе]

ins- в сообщении #501857 писал(а):

Is it too easy or difficult?

Apparently, not too engaging.

[ins-]

Construction problems are not very popular these days. What I think about this one is a beautiful but not easy (if it is solvable). Somewhere it was mentioned it have a beautiful solution but I haven't seen it.

[ins-]

http://www.artofproblemsolving.com/Foru ... 0#p2511830 - it is an idea for solution can someone give more details. Alternative approaches are probably possible.