The solution of this question will make use of the Two Tangents from Point Theorem which states that "the measure of an angle formed by two tangents drawn from a point outside the circle is half the the difference of the intercepted arcs".
We can also see that the measure of arcs are: and
Thus, as per the theorem, the measure of the can be calculated as:
Therefore, we get:
Thus, out of the given options, option B is the correct option.