Based on the details provided, it sounds like the first construction involves drawing an arc from point B that intersects rays, which typically indicates the construction of an angle. The second construction with ray D and point L may suggest measuring a distance or creating another geometric figure.
To complete the sentence:
This image may result from the construction of an acute angle. The next step in this construction is to set the compass width to the length of segment BJ (or BK, depending on which segment you want to use).
Please adapt the options in the drop-down menus based on these clues as needed.