Former loanee Jack Richards scored twice as Oaks exited the Velocity Trophy at Longmead.
Richards netted both in ten minutes either side of half-time, before limping off with a leg injury, with substitute Alex Read adding the third in stoppage-time.
The tie ended 10 against 10 after Oaks right back Ola Williams and Angels striker Liam King were both sent off.
Williams saw red five minutes before the break, following the second of two yellow card challenges on Richards in only four minutes, then King followed him to the dressing roomwith 25 minutes left, picking up a second booking for a foul on Mikey Dalton, forcing the Oaks midfielder to limp out of the game early.
Oaks included two Leyton Orient youngsters on the bench, Jacom Phillips and Ernold Maxium, both signed on youth experience terms.
They got their chance in the final half hour, and both looked lively.
Dalton missed a great chance to put Oaks in front after 15 minutes - one-on-one against home keeper Jonny Henly.
Angels pressed down both flanks winning several corners, before going in front seven minutes before half-time.
A long cross to the far post was headed back by right winger Jared Small for Richards to fire home.
The former Maidstone youngster, signed on loan by the Longmead club, after being released by new boss Harry Wheeler doubled Angels’ lead after 55 minutes.
Oaks failed to clear the ball, and Richards pounced to drill home a low shot inside the near post.
Ben Bridle-Card then saved well tipping Joe Turner’s chip over the bar, before King was sent off.
William Johnson-Cole saw his effort saved by Henly, before Micky Collins sent on Maxium and Phillips.
Maxium shot wide after linking well with Osman Proni, then had another effort held by Henly, with Phillips ruled offside attempting to convert the rebound.
Read touched home the third from close range in almost the last action of the night.