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QUESTION IMAGE

based on the image, which pair of angles are vertical? ∠1 and ∠2 ∠2 and…

Question

based on the image, which pair of angles are vertical?
∠1 and ∠2
∠2 and ∠3
∠3 and ∠4
∠1 and ∠3
question 2
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Explanation:

Step1: Recall vertical angles definition

Vertical angles are opposite angles formed by two intersecting lines.

Step2: Analyze each option

  • $\angle1$ and $\angle2$: Adjacent angles, not vertical.
  • $\angle2$ and $\angle3$: Adjacent angles, not vertical.
  • $\angle3$ and $\angle4$: Adjacent angles, not vertical.
  • $\angle1$ and $\angle3$: Opposite angles formed by two intersecting lines, so they are vertical angles.

Answer:

$\angle1$ and $\angle3$