Question

identify all angles supplementary to ∠tnu. /snu /tnv /vnr /rnt /rns

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if they form a linear - pair (sum to 180°) or are vertical angles to angles in a linear - pair.

Step2: Identify linear - pairs at point N

At point N, ∠TNU and ∠TNV form a linear - pair since they are adjacent angles that share a common side and their non - common sides form a straight line. So, ∠TNV is supplementary to ∠TNU.
Also, vertical angles are equal. ∠RNS and ∠TNU are vertical angles. And ∠RNS and ∠RNT form a linear - pair. So, ∠RNT is supplementary to ∠TNU.

Answer:

∠TNV, ∠RNT