I will use this notation m arc AB to name the measure of the arc AC in degress, going from A to B counterclock wise.
Also, note that the measure of an arc is equal to the measure of the central angle from which the arc is generated.
With that:
1) m arc AB
m arc AB is equal to the angle AOC
The angle AOC is indicated to be 49°, so m arc AB is also 49°.
Answser: 49°
2) m arc ABC
m arc ABC is equal to 360° - angle COA = 360° - 107° = 253°
3) m arc BAC
m arc BAC is equal to angle AOB + angle COA
m arc BAC = 49° + 107° = 156°
Answer: 156°
4) m arc ACB
m arc ACB = 360 ° - angle AOB = 360° - 49° = 311°
Answer: 311°
