Late to the party and a few cents short . I'll leave this here anyway.
I trim, tune, to
resonance. At this point I have
no idea what the VSWR is . I used to do this with a GDO* and a noise bridge.
With a simple VSWR indicator I can take an educated guess at whether the Impedance is higher or lower than my feedline. With the Rig Expert or MFJ 'lysers I'd know in an instant. I don't know if you would consider swapping 50 for 75 ohms just to see the difference lazy, hack, or effective, but it's what I do most often.
Then there is the OCFD. Whole different animal.
http://www.w8ji.com/windom_off_center_fed.htm
Learn the difference between a VOLTAGE and CURRENT balun.
http://www.kn9b.us/guanella-balun
http://www.w8ji.com/windom_off_center_fed.htm
Then there are various wire antennas that can exhibit 3,000 ohms or more that need to be stub matched at the feed point to get them close to any kind of feed line.
In any case the idea is not to
fool the radio but to keep the VSWR
off the feed line.
Now look at that from the radio. Today's radios absolutely need to see as close to a flat match as possible. Older tube outputs would match to at least 3:1 . The radio absolutely needs to see as close to a 1:1 as possible
and doesn't care in the least what the feedpoint impedance is. The antenna doesn't care what the feedpoint impedance
is as long as it is resonant.
Trim to resonance , keep VSWR off the feedline, and show 50 ohms (or 1:1 VSWR) to the radio.
*grid dip oscillator (for those born after 2k)
Addendum:
I suppose I owe this much after all those words. Never once did I answer or approach an answer to "what is the feed point impedance of the inverted "Vee" for different angles and AGL." It just doesn't matter. YMMV