Kendrick is using a compass and straightedge to copy angle M. The figure shows the portion of the construction that he has already completed. Where should Kendrick place the center of the compass to do the next step of the construction?

The question is not complete, but I found a similar question (image) that applies to this case:

The correct answer is:

Point N ( or where the arc cuts the horizontal line)

Step-by-step explanation:

From the figure attached to this answer, to copy angle  in the first image on the left onto the inage in the right, Kendric first of all places tha centre of the compass at point M, and extends it to point N, to draw the first arc, which has already been done.

1. Next, the center of the compass should be placed at point N, and extended to the point where the arc touches the inclined line.

2. This measurement is then transferred to the new line, and the center of the compassed placed at point D, and a second arc drawn to cut the first arc.

3. Finally a line is drawn through the point where the two arcs meet to touch point C.