Question 4
Triangles $\triangle ABC$ and $\triangle A'B'C'$ lie in the coordinate plane with vertices $A(0, 0),$ $B(0, 12),$ $C(16, 0),$ $A'(24, 18),$ $B'(36, 18),$ $C'(24, 2).$ A rotation of $m$ degrees clockwise around the point $(x, y),$ where $0 \lt m \lt 180,$ will transform $\triangle ABC$ to $\triangle A'B'C'.$ Find $m + x + y.$