Question

in the diagram, which angles form a linear pair? select three options. ∠rst and ∠rsv ∠rst and ∠tsu ∠rst and ∠vsu ∠tsu and ∠usv ∠tsu and ∠rsv

Explanation:

Step1: Recall linear - pair definition

Two angles form a linear pair if they are adjacent and their non - common sides form a straight line.

Step2: Analyze each option

• For $\angle{RST}$ and $\angle{RSV}$: They are not adjacent in the right way to form a linear pair.
• For $\angle{RST}$ and $\angle{TSU}$: They are adjacent and $\overrightarrow{RS}$ and $\overrightarrow{SU}$ form a straight line. So they form a linear pair.
• For $\angle{RST}$ and $\angle{VSU}$: They are not adjacent in the way to form a linear pair.
• For $\angle{TSU}$ and $\angle{USV}$: They are adjacent and $\overrightarrow{TS}$ and $\overrightarrow{SV}$ form a straight line. So they form a linear pair.
• For $\angle{TSU}$ and $\angle{RSV}$: They are not adjacent in the way to form a linear pair.

Answer:

$\angle{RST}$ and $\angle{TSU}$, $\angle{TSU}$ and $\angle{USV}$