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Straight is both an adjective and an adverb.
A problem in motion along a straight line is a problem that takes place in one dimension. An example problem is an object on a straight conveyor belt.
A ruler has markings, a straight edge does not. In "straight edge and compass" constructions, you are not allowed to mark the straight edge. Things that are impossible using only a straight edge and compass are possible if markings are allowed (for example, it's possible to trisect an angle using a marked straight edge).
Yes, for example, you have a straight horizontal line. If you intersect a straight vertical line in the middle of the horizontal line, pointing straight up, you would have two right angles.
The angle between the part of the street before the STOP sign and the part of the street after the STOP sign is usually a straight angle.