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).
(..) Howdy! Must admire their spirit. There's your pal. What're you doing? Look at the updraft. The angle. It's going to shift course. You sure? It's definitely a sidewinder. It'll move left. - Is that bad? (..)1996 Twister