I wouldn't recommend going with Angular 1 as you will have to deal with lots of DSLs - Directives, Filters, $scope, $rootScope, Controllers and what not! That's the reason the folks at Google have completely rewritten it and the new framework is called Angular 2. If you want to go with Angular path, then you should start directly with 2.0.
Now React is also a tempting choice. The plus side is that :
You will deal with pure JS (and ES6) code - no DSLs. If you know JS, you can build React components.
You will get to work with Unidirectional Data flow concepts and Flux architecture. IMO, this going to be the architecture of future.
You can build universal JavaScript apps .
Huge community.
Easily pick up React Native and build mobile apps (probably reuse some components?).
and much more.
So, my vote goes to React and it looks good on your resume too!