Problem

Source: V.A. Yasinsky Geometry Olympiad 2018 VIII-IX advanced p5 [Ukraine]

Tags: geometry, Angle Chasing, rhombus



The point $M$ lies inside the rhombus $ABCD$. It is known that $\angle DAB=110^o$, $\angle AMD=80^o$, $\angle BMC= 100^o$. What can the angle $\angle AMB$ be equal?