Here is some general advice that will get you started and then you can keep making adjustments from there. First off, especially in 1v1 you want to know which deck is the aggressor and which deck is playing more of control. Normally fae play a weird mix of both which is considered tempo, but for the sake of this post let's label your friend as the aggressive deck and you as the control deck.
Next is knowing threat assessment. Since the two angels you mentioned seem to be the combo you have problems with we will focus on that. A simple start is counter magic. You play a land, pass turn style where you are constantly holding up counter magic for the specific threats, or enablers that would get those threats. You will also play a lot of instant speed spells to take advantage of turns he either plays nothing or nothing you want to counter. These would be creatures with flash and instant speed card draw.
You won't always have counter magic available and sometimes threats get through so your next option is removal.
Since your problem seems to be indestructible creatures there are two things to do. First are exile spells, and second are spells that give -×/-×. If a creature has 0 base toughness it dies, indestructible or not. Cards like [[tragic slip]] for single target or [[toxic deluge]] for board wipes. Honorable mention is a card like [[killing wave]] that will make him sacrifice his creatures.
