The answer is A) 150 degrees.
Firstly, we have to note that a circle has 360 degrees. Knowing this allows us to see that the two remaining angles will add up to 300 (since the shown angle is 60).
We also know that since the lengths of these two arcs are exact, we know that they must be the remaining amount divided by two.
300/2 = 150.
Therefore, they must both be 150 degrees.