a salesman who's always looking for an 'angle' [=looking for a way to convince people to buy the things he is selling]
The two lines meet at a 30-degree 'angle' to each other. = There is a 30-degree 'angle' between the two lines.
The two lines form a sharp 'angle'. = The two lines meet/intersect at a sharp 'angle' (to each other).
(..) McCool, Newberry, right side. Flea, you come with me. Let's move out. Listen up, everybody. We need film from all angles. Record weapons, vehicles. Count bad guys, Get ranks, if visible. Slov, Cortez, check antenna for comms capability. - McCool? (..)1997 G.I. Jane