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oq→ and rt→ are parallel lines. which angles are supplementary angles? …

Question

oq→ and rt→ are parallel lines. which angles are supplementary angles? ∠rsu and ∠tsp ∠rsu and ∠rsp ∠rsu and ∠qpn ∠rsu and ∠ops

Explanation:

Step1: Recall supplementary - angles definition

Two angles are supplementary if their sum is 180 degrees. Adjacent angles that form a straight - line are supplementary.

Step2: Analyze each pair of angles

  • For ∠RSU and ∠TSP: These are vertical angles, not supplementary.
  • For ∠RSU and ∠RSP: ∠RSU+∠RSP = 180 degrees since they form a straight - line (linear pair).
  • For ∠RSU and ∠QPN: There is no relation that makes their sum 180 degrees.
  • For ∠RSU and ∠OPS: There is no relation that makes their sum 180 degrees.

Answer:

∠RSU and ∠RSP