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which angles are adjacent angles? ∠mnk and ∠lkn ∠lkn and ∠jki ∠jkn and …

Question

which angles are adjacent angles?
∠mnk and ∠lkn
∠lkn and ∠jki
∠jkn and ∠lkn
∠mnp and ∠lki

Explanation:

Step1: Recall the definition of adjacent angles

Adjacent angles share a common vertex and a common side, and have no overlapping interior points.

Step2: Analyze each option

  • For \(\angle MNK\) and \(\angle LKN\): They do not share a common vertex.
  • For \(\angle LKN\) and \(\angle JKI\): They do not share a common vertex.
  • For \(\angle JKN\) and \(\angle LKN\): They share a common vertex \(K\) and a common side \(KN\), and have no overlapping interior points.
  • For \(\angle MNP\) and \(\angle LKI\): They do not share a common vertex.

Answer:

\(\angle JKN\) and \(\angle LKN\)