Question

identify the pair of obtuse vertical angles.
r
s
v
n
u
t
∠rnt & ∠snu
∠vnu & ∠rns
∠rns & ∠tnu
∠tnv & ∠rns

Explanation:

Step1: Recall vertical - angles definition

Vertical angles are the non - adjacent angles formed by two intersecting lines. They are equal in measure.

Step2: Recall obtuse - angle definition

An obtuse angle is an angle whose measure is greater than 90° and less than 180°.

Step3: Analyze each option

• For ∠RNT and ∠SNU: They are vertical angles, but from the figure, they are acute.
• For ∠VNU and ∠RNS: ∠VNU is not a vertical angle to ∠RNS.
• For ∠RNS and ∠TNU: They are not vertical angles.
• For ∠TNV and ∠RNS: They are vertical angles. By observing the figure, they are obtuse.

Answer:

∠TNV & ∠RNS