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).
(..) I am not comfortable with this. Well, then what do you suggest we do? What a martyr craves more than anything is a sword to fall on, so you sharpen the blade, hold it at just the right angle, and then , , -- It should be me. It was my bill. No. Impossible. Donald, (..)2013 TvShow: House of Cards Title: Chapter 2 Season: 1 Episode 2