3. Given an equilateral triangle $A B C$. Inside it, a point $D$ is taken such that it divides triangle $A B C$ into three triangles $A B D, B C D, A C D$ such that one of them is a right triangle, and another is an isosceles triangle with a vertex angle of 172 degrees. Find all possible values of angle $B C D$ in degrees. In your answer, list them in ascending order separated by a semicolon.


Answer: $4,26,34,56 \| 4 ; 26 ; 34 ; 56$