Answer :

[tex]m\angle BOD=m\angle BOC+m\angle COD\\\\ m \angle BOC=\dfrac{1}{2}m \angle AOC=\dfrac{1}{2}\cdot70=35\\ m \angle COD=\dfrac{1}{2}m \angle COE=\dfrac{1}{2}\cdot60=30\\\\ m\angle BOD=35+30=65[/tex]