Geometry Essentials · Challenge problem

Rays $OA$, $OB$, $OC$ are drawn with $A$, $O$, $C$ collinear, so $\angle AOB$ and $\angle BOC$ form a linear pair. Ray $OD$ bisects $\angle AOB$ and ray $OE$ bisects $\angle BOC$. If $m\angle AOB=70^\circ$, find $m\angle DOE$.