Ackley's two-run single in the second inning staked the Mariners to a 3-0 lead and Jaso clouted a solo homer in the next frame, giving Seattle a four-run cushion.
The Seattle catcher added an RBI single in the fourth to cap a three-run outburst that iced the win and allowed the M's to even their three-game series.
Hisashi Iwakuma (3-3) tossed seven solid innings to collect the victory, allowing three runs on six hits. The right-hander issued one walk and struck out four.
Angels starter Dan Haren (8-9) was tagged for seven runs (five earned) over just 3 1/3 innings. He yielded five hits and handed out three walks.
Vernon Wells went 3-for-3 with a two-run homer and three RBI and Kendrys Morales added a solo shot for Los Angeles.