Final Answer:
The angle relationship that describes ∠uqr and ∠wrt is b) alternate exterior angles. (Option b)
Step-by-step explanation:
In the context of intersecting lines and parallel segments, alternate exterior angles refer to pairs of angles located on the opposite sides of the transversal (line st in this case) and on the exterior of the parallel lines (segments uv and wz). In the given scenario, ∠uqr and ∠wrt are alternate exterior angles because they are formed by the intersection of line st with parallel segments uv and wz.
These angles share a unique geometric property. When two parallel lines are intersected by a transversal, alternate exterior angles are always congruent. In other words, ∠uqr is congruent to ∠wrt. This congruence is a consequence of the parallel lines creating equal corresponding angles. Understanding these angle relationships is fundamental in geometry and helps in solving various problems involving parallel lines and transversals.(Option b)