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 the definition of a linear pair

A linear pair of angles is a pair of adjacent angles whose non - common sides are opposite rays.

Step2: Analyze each option

• For \(\angle RST\) and \(\angle RSV\):
• Their non - common sides \(ST\) and \(SV\) are not opposite rays.
• For \(\angle RST\) and \(\angle TSU\):
• They are adjacent angles and their non - common sides \(SR\) and \(SU\) are opposite rays.
• For \(\angle RST\) and \(\angle VSU\):
• They are not adjacent angles.
• For \(\angle TSU\) and \(\angle USV\):
• They are adjacent angles and their non - common sides \(ST\) and \(SV\) are opposite rays.
• For \(\angle TSU\) and \(\angle RSV\):
• They are adjacent angles and their non - common sides \(SR\) and \(SV\) are opposite rays.

Answer:

\(\angle RST\) and \(\angle TSU\), \(\angle TSU\) and \(\angle USV\), \(\angle TSU\) and \(\angle RSV\)