Question 190
Convex quadrilateral *ABCD* is inscribed in circle *ω*. Rays *AB* and *DC* intersect at *K*. *L* is chosen on the diagonal *BD* so that $\angle BAC = \angle DAL$. *M* is chosen on the segment *KL* so that $CM \parallel BD$. Prove that the line $BM$ touches $\omega$. (Kungozhin M.)
