Question

identify the relationship between ∠tsu and ∠usv as completely as possible.

Explanation:

Adjacent angles share a common vertex and a common side. ∠TSU and ∠USV share vertex S and side SU. There is no information indicating they are complementary (sum to 90°), supplementary (sum to 180°) or vertical (opposite each other when two lines intersect). So they are just adjacent.

Answer:

Adjacent