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which angles are linear pairs? check all that apply ∠srt and ∠trv ∠srt …

Question

which angles are linear pairs? check all that apply
∠srt and ∠trv
∠srt and ∠tru
∠vrw and ∠wrs
∠vru and ∠urs
∠urw and ∠wrs

Explanation:

Step1: Recall the definition of linear pairs

Linear pairs are adjacent angles that form a straight line (sum to \(180^{\circ}\)).

Step2: Analyze each option

  • For $\angle SRT$ and $\angle TRV$: They are not adjacent to form a straight - line.
  • For $\angle SRT$ and $\angle TRU$: These two angles are adjacent and their non - common sides form a straight line (the line \(TU\)).
  • For $\angle VRW$ and $\angle WRS$: These two angles are adjacent and their non - common sides form a straight line (the line \(VS\)).
  • For $\angle VRU$ and $\angle URS$: They are not adjacent to form a straight - line.
  • For $\angle URW$ and $\angle WRS$: They are not adjacent to form a straight - line.

Answer:

  • $\angle SRT$ and $\angle TRU$
  • $\angle VRW$ and $\angle WRS$