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QUESTION IMAGE

\\( overrightarrow{gi} \\) and \\( overrightarrow{jl} \\) are parallel …

Question

\\( overrightarrow{gi} \\) and \\( overrightarrow{jl} \\) are parallel lines. which angles are adjacent angles? \\( angle ihk \\) and \\( angle ghf \\) \\( angle ihk \\) and \\( angle jkm \\) \\( angle ihk \\) and \\( angle ihf \\) \\( angle ihk \\) and \\( angle lkh \\)

Explanation:

Step1: Recall adjacent - angle definition

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

Step2: Analyze each option

  • For $\angle IHK$ and $\angle GHF$, they do not share a common side.
  • For $\angle IHK$ and $\angle JKM$, they do not share a common vertex or side.
  • For $\angle IHK$ and $\angle IHF$, they share a common vertex $H$ and a common side $\overrightarrow{IH}$, and have no interior - points in common.
  • For $\angle IHK$ and $\angle LKH$, they do not share a common vertex or side.

Answer:

$\angle IHK$ and $\angle IHF$