Question

classify the angle pair \\( \angle v u x \\) and \\( \angle x u t \\).
adjacent and neither complementary nor supplementary
a linear pair
adjacent and complementary
nonadjacent and supplementary

Explanation:

Step1: Recall definitions

Adjacent angles share a common side and vertex. Complementary angles sum to \(90^{\circ}\), supplementary to \(180^{\circ}\). A linear pair is adjacent and supplementary. Non - adjacent means no common side/vertex.

Step2: Analyze \(\angle VUX\) and \(\angle XUT\)

\(\angle VUX+\angle XUT = 180^{\circ}\) (since \(180^{\circ}\) around a straight line). They have no common side/vertex (non - adjacent).

Answer:

Nonadjacent and supplementary