Well, they really have different goals.
Angular is about building an application. It helps to structure your code and individual responsibilities between your components (modules, controllers, services, directives, routers).
Lodash is nice to manipulate collections, arrays, objects, strings, etc. This helps your code to be shorter, cleaner, and probably faster. It is really well tested and documented. In my opinion, this simplifies your work.
I have been using Lodash for 4 years now. I found it useful in all my projects (Backbone, Angular, JavaScript, node, in unit tests, in assembly configuration files (Grunt, Gulp, Webpack)).
PS: Lodash is also required for functional programming in JavaScript.
Edit: An example of a search that you cannot easily achieve without Lodash
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