To determine the angle formed at the intersection of a line and a line segment that are perpendicular to each other, we need to understand what perpendicularity means.
Perpendicular lines are defined as lines that intersect at a right angle. A right angle is specifically an angle that measures \(90^{\circ}\).
Thus, when a line intersects a line segment perpendicularly, the angle between them is \(90^{\circ}\).
Therefore, the correct answer is:
D. [tex]\(90^{\circ}\)[/tex]
