We talking animals are like amphibians or dual citizens. We share basic sentience and emotion with many other biological species (at the very least least other mammals, and perhaps in some rudimentary sense all living things). We also participate in a larger, shared realm of language and reason that is open to all possessed of such. Reason and emotion interact in complex ways.
The fact that we participate in language and reason thus contributes in a major way to the overall constitution of our feeling. Just as practical reasonableness is deeply tied to our emotional state and constitution, we also tend to respond emotionally when we judge things to be reasonable or unreasonable.
Our feelings are in one sense wholly ours, but the words we speak to ourselves are not wholly our own, and they do also significantly influence our feelings, so in another sense, our feelings are not wholly ours, either. (Also, there is a passivity in feeling.) In terms of taking responsibility, such questions of “ownership” do not matter much — far more important is what we feel and think, and how well. (See also Intellectual Virtue, Love; Honesty, Kindness.)