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QUESTION IMAGE

select the pair of angles which are corresponding angles. ∠2 and ∠4 ∠4 …

Question

select the pair of angles which are corresponding angles.
∠2 and ∠4
∠4 and ∠8
∠6 and ∠8
∠2 and ∠3

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position with respect to a transversal intersecting two parallel lines.

Step2: Analyze each option

  • $\angle2$ and $\angle4$ are vertical angles.
  • $\angle4$ and $\angle8$ are corresponding angles as they are in the same relative position (both above the parallel - like lines and on the same side of the transversal).
  • $\angle6$ and $\angle8$ are vertical angles.
  • $\angle2$ and $\angle3$ are adjacent angles.

Answer:

$\angle4$ and $\angle8$