Answer:
x = 143°
Step-by-step explanation:
When chords cross, the angle between them is the average of the measures of the intercepted arcs. Here, it is useful to consider the larger angle where the chords cross, the supplement of 37°, which is 143°. That is the average of the two arc measures (x+5) and (x-5). That average is ...
((x +5) +(x -5))/2 = 2x/2 = x
In short, x = 143°.
