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

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

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

Answer

Explanation:

Step1: Recall linear - pair definition

Two angles form a linear pair if they are adjacent and their non - common sides are opposite rays, and the sum of the angles in a linear pair is 180°.

Step2: Analyze ∠RST and ∠RSV

∠RST and ∠RSV share a common side RS, but their non - common sides ST and SV are not opposite rays. So they do not form a linear pair.

Step3: Analyze ∠RST and ∠TSU

∠RST and ∠TSU share a common side ST, and their non - common sides RS and SU are opposite rays. So they form a linear pair.

Step4: Analyze ∠RST and ∠VSU

∠RST and ∠VSU are not adjacent angles. So they do not form a linear pair.

Step5: Analyze ∠TSU and ∠USV

∠TSU and ∠USV share a common side SU, and their non - common sides ST and SV are opposite rays. So they form a linear pair.

Step6: Analyze ∠TSU and ∠RSV

∠TSU and ∠RSV are not adjacent angles. So they do not form a linear pair.

Answer:

∠RST and ∠TSU, ∠TSU and ∠USV