Answer:
We know by given that OC bisects the angle, which means it divides the angle AOB in two equal parts. So,
[tex]m \angle AOB = 3x +5 + 3x +5 =6x+10[/tex]
If [tex]x=9[/tex], then we use this value to find each angle.
[tex]m \angle BOC = 3x+5 =3(9)+5=27+5=32[/tex]
Therefore, angles BOC and AOC measure 32°.