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 are opposite rays, and the sum of the angles in a linear pair is 180 degrees.

Step2: Analyze each option

• For ∠RST and ∠RSV: They share a common side RS, and their non - common sides ST and SV are opposite rays. So they form a linear pair.
• For ∠RST and ∠TSU: They share a common side ST, and their non - common sides RS and SU are opposite rays. So they form a linear pair.
• For ∠TSU and ∠USV: They share a common side SU, and their non - common sides TU and VU are opposite rays. So they form a linear pair.

Answer:

∠RST and ∠RSV, ∠RST and ∠TSU, ∠TSU and ∠USV