Going to the Indians for Murphy is Double-A shortstop Eric Stamets and going to the Rays for DeJesus is Rookie right-hander Eduar Lopez. Both deals, while separate deals, do make sense for the Angels as they have been in need of outfielders.
Though they acquired Shane Victorino yesterday, the Angels still needed outfield help after a disastrous start from Matthew Joyce this year in left. Three outfielders is a lot, but depth is important for any team, and Mike Trout is currently injured pending an MRI.
On the season, Murphy is batting .296/.344/.437 with five home runs and 27 RBIs in 229 plate appearances. This season, against right-handers, he's been playing pretty well, with a .785 OPS in 212 PA. He hasn't had much experience against southpaws.
DeJesus, on the other hand, is hitting .259/.323/.375 with five homers and 26 RBIs in 257 plate appearances. His spits are similar to Murphy's, posting a .715 OPS against righties and a .236 OPS against southpaws.