lolno. Angels are 2nd weakest to kinetic. Tengu has a bonus to kinetic. Tengu is excellent in most situations and these angel plexes are no exception, unless for some reason you are only getting 350 raw dps or something. I won't comment on the HAM legion, it should probably work but the stasis towers will make you a sad panda.

Angels have no 6/10, they have a unrated plex with a guaranteed escalation that drops similar loot. Beware the neutralizer sentry III's in part 2.

machariel/cnr/golem will of course work but they're not necessary for soloing or clearing the site quickly.

I'm not going to post my own fit, I don't think it would be that helpful to you. It mostly depends on what kind of shield booster you want to use, how much you want to spend, and how much your prioritize dps, burst tanking, capacitor, and frig-hitting-ability. Here is an example of nearly fully t2 fit that should be able to clear the angel 5/10 and 7/10 with no problems.

[Tengu, cookie cutter angel]
Ballistic Control System II
Ballistic Control System II
Ballistic Control System II
Damage Control II

Medium Shield Booster II
10MN Afterburner II
Pith A-Type Explosive Deflection Field (can use t2 ofc but these are <30 mil)
Adaptive Invulnerability Field II
Adaptive Invulnerability Field II
Shield Boost Amplifier II (if you can't use t2 use a different mod. don't throw down on a faction SBA unless you've already got a nice shield booster)

Heavy Missile Launcher II, Scourge Fury Heavy Missile
Heavy Missile Launcher II, Scourge Fury Heavy Missile
Heavy Missile Launcher II, Scourge Fury Heavy Missile
Heavy Missile Launcher II, Scourge Fury Heavy Missile
Heavy Missile Launcher II, Scourge Fury Heavy Missile
Heavy Missile Launcher II, Scourge Fury Heavy Missile 70km range!

Medium Warhead Rigor Catalyst I (absolutely t2 this)
Medium Capacitor Control Circuit I (t2 this)
Medium Capacitor Control Circuit I

Tengu Offensive - Accelerated Ejection Bay
Tengu Defensive - Amplification Node
Tengu Electronics - CPU Efficiency Gate
Tengu Engineering - Augmented Capacitor Reservoir
Tengu Propulsion - Fuel Catalyst

with lvl 5's and no implants this basic cheap fit does 601 dps, which is way more than enough to kill top-tier npc battleships at a good pace. Most people elect to drop a few hundred mil for some nice fittings, getting a much stronger as well as more sustainable tank, more dps, and using less cpu allowing a switch to the dissolution sequencer. The only weakness is with a t2 medium booster, your burst tank is kind of low and you rely a bit more on your speed to reduce your damage, but that's what overloading is for (plus you can 1-shot any stasis tower within your lock range). Then again, if you spend a little bit of isk you can also get do all this with a mwd and the agility subsystem, which is nice for lowsec work.