What random angles? It looks like some polygon thin web removal has occurred, is that what you mean, how it's cut asymmetrically around the microstrip/pad to CPWG transition?
The dimension of this geometry being sub mm, you'll have a hard fucking time[1] measuring that at all, down at the 10ps scale, let alone mattering against the pad and SMA transitions being comparable or greater in overall magnitude.
If you need the transitions to look good (even just aesthetically -- hey, it's good enough reason for half my
fiddling around 
), I would suggest attaching either polygon cutouts, or explicit regions (including GND pads, or connected to the solder pads proper, so they get connected as such), to shape the transition as desired. You can similarly shape the signal pad to more of a taper, which will also reduce the acute angles that are more likely to get trimmed as poly necking.
And yeah, I see the poly cutout in there already, but I mean to make it project out in a triangle or arc or whatever, hugging the trace, to ease the transition and stave off the neck-cutting.
[1] A derived unit of the Metric Fuckload, mind. Keep things professional and all.

Anyway, afraid I've not used the polar grid, or at least very much, so I don't have much to comment on that. What was it.. I think I actually used it
once, but just for some positioning that was a little easier to do that way plus setup instead of place, select and rotate?
Which is more or less the traditional way to do it, assign some reference points, and place components on square grid as normal, then rotate into place, around respective centers. Hard to maintain in-situ, maybe want to label the angles of each region to indicate how much to rotate it back by to then make changes, or whatever, but, if you just need one-offs and need it done, I mean, it's fine.
Tim