Hey guys I have this math issue in Math olympics. Is there anybody who could save me and solve it? It is translated from Czech to English so maybe there will be some mistakes.

If ABCD is a rhombus with a shorter diagonal BD and E, the inner point on its side of the CD, which lies on the (outside) circle of the ABD triangle. Determine the magnitude of its inner angle at A, if the (outside) circles of ACD and BCE triangles have just one common point.

And what is inner point?

Thank you

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