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:

A linear pair consists of two adjacent angles that form a straight line, meaning their measures add up to $180^\circ$.

1. $\angle RST$ and $\angle RSV$: They share side $SR$, their non-shared sides $ST$ and $SV$ form a straight line, so they are a linear pair.
2. $\angle RST$ and $\angle TSU$: They share side $ST$, their non-shared sides $SR$ and $SU$ form a straight line, so they are a linear pair.
3. $\angle TSU$ and $\angle USV$: They share side $SU$, their non-shared sides $ST$ and $SV$ form a straight line, so they are a linear pair.

The other pairs are either non-adjacent or do not form a straight line.

Answer:

A. $\angle RST$ and $\angle RSV$
B. $\angle RST$ and $\angle TSU$
D. $\angle TSU$ and $\angle USV$