Here's a little illustration I made to illustrate my point.
Angle AB shows the string angle as it passes over the bridge. The angle shown is 166^ which equates to a 14^ break angle (180 - 14 = 166). This angle is bisected by ray CD. The bisector indicates the direction of force exerted by the string at the point of it's bend.
The angle of this bisection relative to the vertical line of the bridge posts (Line CE) gives some indication as to how much tendency there will be for the bridge to be pulled forward.
The point is, the angle of the string on the other side of the nut will not affect these angles, thus the tendency to exert a forward pull on the bridge.
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