Does anyone have a recommendation for a typeface with very angular serifs (like the attached image)?
That image is pretty confusing, but do you mean something like Matrix?http://www.myfonts.com/fonts/emigre/matrix-ii-ot/
BTW that style of serif (and category of typeface) is called "Latin", in case that helps you search.
Difficult to tell from the pic you supplied, but here a few to consider:
Sensaway, Die Gestalten
Encorpada Pro, dooType
Essonnes, James Todd Design
Lust Pro, Positype
Majesti Banner, Lost-Type
PF Regal Series, Parachute
Surveyor, Hoefler & Co
Tenez, Plau Design