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which angle is an adjacent interior angle to ∠jkm? ∠klm ∠jkl ∠lmk ∠mkl

Question

which angle is an adjacent interior angle to ∠jkm? ∠klm ∠jkl ∠lmk ∠mkl

Explanation:

Step1: Recall adjacent interior angle definition

Adjacent interior angles share a common side and vertex, and are inside the figure.

Step2: Analyze each option

  • $\angle KLM$: Does not share a common side with $\angle JKM$.
  • $\angle JKL$: Is a straight - line angle with $\angle JKM$ (not interior in the relevant sense for the triangle - like part).
  • $\angle LMK$: Does not share a common side with $\angle JKM$.
  • $\angle MKL$: Shares vertex \(K\) and side \(MK\) with $\angle JKM$, and is an interior angle (in the polygon - like structure formed by \(M\), \(K\), \(L\)).

Answer:

$\angle MKL$