Nolasco was traded to the Angels on Monday, Alden Gonzalez of MLB.com reports.
The Angels are also receiving Alex Meyer in the trade, which sends Hector Santiago to Minnesota along with reliever Alan Busenitz. Financial terms of the deal were not disclosed, but the Twins are believed to be sending cash to the Angels to offset some of the remaining money on Nolasco's contract, which runs through the end of 2017. Nolasco figures to slot into an Angels rotation that has been ravaged by injuries this season.