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which angles are corresponding angles? ∠jkn and ∠onk ∠mnk and ∠onp ∠mnp…

Question

which angles are corresponding angles? ∠jkn and ∠onk ∠mnk and ∠onp ∠mnp and ∠jkn ∠onk and ∠onp

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position with respect to the transversal and the parallel lines. When two parallel lines are cut by a transversal, pairs of corresponding angles are congruent.

Step2: Analyze each option

  • For $\angle{JKN}$ and $\angle{ONK}$, they are alternate - interior angles.
  • For $\angle{MNK}$ and $\angle{ONP}$, they are vertical angles.
  • For $\angle{MNP}$ and $\angle{JKN}$, $\angle{MNP}$ and $\angle{JKN}$ are corresponding angles. $\angle{MNP}$ and $\angle{JKN}$ are in the same relative position (both above the parallel lines $JL$ and $MO$ and to the right of the transversal $IP$).
  • For $\angle{ONK}$ and $\angle{ONP}$, they are adjacent angles.

Answer:

$\angle{MNP}$ and $\angle{JKN}$