So based on your question about the line A and B meet and the four lines are congruent to each other. The graph doesnt show any measurements so there is no exact value to the length of X. But you must consider that the lines are proportional to each other so it means that they are congruent.
The answer is 120. Because inscribed angle is Half of the arc measure. Double 60 and we get 120.
5+23= 28 .........................