There are nine angles smaller than a right angle.

2. Angle AOD= 1/2 Angle AOC= 1/2×50=25 degrees.

Angle BOD= 180-25= 155 degrees.

3. Angle ω= 90-25 = 65 degrees

BOE angle = 180-25-90=65 degrees.

So angle COE= angle BOE

So OE bisects the angle BOC.