These are not competing technologies. Angular is a framework. Polymer is a library. Let’s skip comparing libraries / frameworks against other libraries / frameworks for a second (polymer or angular or react or meteor or backbone or mustache or express or jquery or dojo or kendo).
Web development is ever-evolving. Being in tune with state of the platform (HTML, HTTP, Javascript, CSS) is critical to helping teams choose what technology (or technologies) are the right fit for particular team/project, to be responsive to paradigm shifts and to stay ahead of the curve (or at least not behind it).
There are a handful game-changing platform changes that have occurred recently. For the purposes of this conversation, let’s touch on just a couple.