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13) which pair of angles are corresponding angles? ∠6 and ∠4 ∠5 and ∠4 …

Question

  1. which pair of angles are corresponding angles? ∠6 and ∠4 ∠5 and ∠4 ∠7 and ∠2 ∠5 and ∠1

Explanation:

Step1: Recall the definition of corresponding angles

Corresponding angles are pairs of angles that lie on the same side of the transversal and in matching positions relative to the two lines.

Step2: Analyze each option

  • For $\angle6$ and $\angle4$: They are not in the same - side - of - transversal and matching - position relationship.
  • For $\angle5$ and $\angle4$: They are not in the same - side - of - transversal and matching - position relationship.
  • For $\angle7$ and $\angle2$: They are not in the same - side - of - transversal and matching - position relationship.
  • For $\angle5$ and $\angle1$: They lie on the same side of the transversal \(t\) and in matching positions relative to the lines \(l\) and \(m\).

Answer:

\(\angle5\) and \(\angle1\)