Recently, I've found an interesting task from plane geometry and I have no idea how to solve it
Here it is (I translate it from my mother tongue, so sorry for any mistakes):
There is a rhomboid ABCD with acute angle at A vertex.We suppose that circumcircle on triangle ABD intersects side CB in point K and side CD in point L (K and L are different from vertexes). Segment AN is a diameter of this circle. Prove that point N is a centre of circumcircle on triangle CKL.
I add an image of this figure so that it's easier for you to understand the task:
Thanks for help in advance!
If you have any questions (e.g. my translation is unclear), feel free to post them.