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4520va v. geometry sem a geometry linear pairs and vertical angles whic…

Question

4520va v. geometry sem a geometry linear pairs and vertical angles which pair of angles are vertical angles? ∠wrs and ∠vrt ∠vrt and ∠srt ∠wru and ∠srt ∠vru and ∠trs

Explanation:

Step1: Recall vertical angles definition

Vertical angles are opposite angles formed by two intersecting lines, equal in measure.

Step2: Analyze each option

  • $\angle WRS$ and $\angle VRT$: Lines $TV$ and $SW$ intersect at $R$, so $\angle WRS$ (formed by $WR$ and $SR$) and $\angle VRT$ (formed by $VR$ and $TR$) are opposite (vertical) angles.
  • $\angle VRT$ and $\angle SRT$: Share a common side $RT$, adjacent, not vertical.
  • $\angle WRU$ and $\angle SRT$: No opposite relation from intersecting lines.
  • $\angle VRU$ and $\angle TRS$: No opposite relation from intersecting lines.

Answer:

$\angle WRS$ and $\angle VRT$