I'm not an employee of Tor Project, just a user, but I'll take a stab at this:

> Why there's some usa and UK ip-ranges in tor circuits?

The Tor network relies upon volunteers who provide Tor nodes at their own expense. Many of them live in the US/UK, and cheap rates are often available for servers in the US/UK. Further Tor is not yet outright illegal in the US/UK (although that might soon change). Hence it is not surprising that many Tor nodes are in the US/UK.

The country which hosts the most Tor nodes is currently FR, by the way. Because that nation has enacted a law which appears to mandate backdoors in "mobile devices", I am not sure how legal it is to operate a Tor node in FR, but I assume it must still be legal, if only just barely so.

> As far as I know the whole usa and UK is under control of NSA.

That's quite a leap. It would be more true to say that NSA maintains an illicit presence in many, even most, IXs, national backbones, commercial telecoms/ISP networks, banking networks, around the world, for the purpose of cyberespionage/cyberwar. As such NSA is virtually a "global adversary", of the kind which, in past years, Tor traditionally did not attempt to defend against.

However, many ordinary people, NGOs, and even government officials in the US/UK oppose the rapid growth and "normalization" of the technostasi in these formerly democratic nations, and NSA (and allied actors) cannot easily deter them all from speaking out.

Ideally, there would exist many "safe haven" nations which encourage people to run Tor nodes without interferrence, and if that were true, it would indeed make sense to try to encourage volunteers to set up nodes in such nations. But alas, it is not true--- as all the "Western" governments appear to be turning in unison to abandon the ideals of the Enlightenment in order to adopt a peculiarly vicious new form of technologically enabled fascism, there are perhaps no "safe havens" left.

That is why every citizen of every nation has a duty to resist government oppression, even though this puts them at severe risk of retaliation: if adults don't resist today, life in a police state will become unbearable for our children by the time they become adults, if indeed they do not become victims of the genocides for which figures like Trump are plainly preparing the way.

> So where is the logic of using tor browser that is controlled by NSA?

Again, quite a leap. NSA's illicit presence in numerous networks implies that it can "easily" collect packets as they (i) pass between a user and an ISP gateway to a Tor entry guard (ii) pass from an entry guard to a Tor relay node (iii) pass from a Tor relay node to a Tor exit node (iv) pass from a Tor exit node to a destination server. However, because tor circuits are strongly encrypted as per the basic idea of the "onion" design, NSA may not be able to easily read the underlying plaintext.

It is true that NSA has poured enormous resources into illegally accessing all manner of electronic devices, no doubt including Tor nodes, all over the world, and is also suspected of itself operating some nodes for illicit purposes, but this makes them a criminal adversary of the Tor network, not a "controller" of the Tor network.

And while NSA's power and resources are indeed frightful, the agency is struggling under complex problems which tends to reduce or even undermine its real-world capabilities.

It would be better to think of it like this: NSA is a deadly enemy, in fact the enemy of the entire world (even the US), but Tor is a powerful force for good which is helping to prevent them from too easily grabbing everything they want "because they can".