MathCastle
GeometryHardGeometry Essentials

Geometry Essentials · Hard problem

Ray OBOB lies in the interior of ∠AOC\angle AOC, with m∠AOB=(2x+10)∘m\angle AOB=(2x+10)^\circ and m∠BOC=(4x)∘m\angle BOC=(4x)^\circ. Given m∠AOC=94∘m\angle AOC=94^\circ, ray ODOD bisects ∠BOC\angle BOC. Find m∠BODm\angle BOD.