It looks like the assumption regarding the 90° point is that the amount of the ecliptic visible is 180°. So the 90° direction is the halfway point.
The nonagesimal is on the ecliptic, so the altitude approximates the arc. Note:The wording in the initial part has that correct, but then it doesn'tgoes on to say "the same as the angle" - this seems to be a mistake. The arc is directly related to the angle, yes, but it is not the angle.