In the present question, let us consider that the angle it is being required is the central angle that goes from point Z, passes through point Y, and reaches point X. It happens that inscribed angles are half of the central angles, and in the present case, the given angle E is inscribed and the one required is the central one, which allows us to calculate it as follows:

From the solution developed above, we are able to conclude that the correct answer is:
B) 138°