2019 SAIMC keystage3-IWYMIC team Question 3

In the figure below, points $A,C$ are on ray $OM$ and $B,D$ are on ray $ON$. It is given that $OA=6$ cm, $OD=16$ cm and $\angle NOM=20^\circ$. What is the minimum length, in cm, of $AB+BC+CD$?