While doing View Sectioning in Modeling and you would like to set the snap angle, you can do the following:
Solution
Edit Section --> From the dynamic WCS --> Select the ball for the rotation handle (left mouse click) on an axis to bring up the Angle and Snap then enter the desired values -> Hit Enter then the snap angle stays for the session.
Notes and References
Hardware/Software Configuration
Platform: INTL64
OS: windows
OS Version: n/a
Product: NX
Application: SYSENG
Version: V1892.4100
Function: GRAPHICS
Ref: 001-9923954