Question 102
In the triangle $ABC$, the inner bisector $AL$ is drawn ($L$ belongs to the $BC$ side), the height $BH$ ($H$ belongs to the $AC$ side) and the median $CM$ ($M$ belongs to the side $AB$). The angles $\angle CAL$, $\angle ABH$ and $\angle BCM$ are known to be the same. Determine, reasonably, the measurements of the angles of the triangle $ABC$.