I don't think that there were some real-life polls (I'm not even sure that it's possible to make one now). And most internet polls aren't representative and neutral. The best I was able to find: link.
I think real results would be a little bit different. My best guess: 50-57% support, 40-47% don't support, 3-5% don't care. There's no way 80% support (or 80% don't support).
Also, opinions vary greatly among different social classes. For example, most intellectuals and football hooligans support protesters even in very pro-Yanukovitch regions.