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QUESTION IMAGE

\\( \\overrightarrow { i k } \\) and \\( \\overrightarrow { l n } \\) a…

Question

\\( \overrightarrow { i k } \\) and \\( \overrightarrow { l n } \\) are parallel lines.
which angles are adjacent angles?
\\( \angle i j h \\) and \\( \angle k j h \\) \\( \angle n m j \\) and \\( \angle l m o \\)
\\( \angle k j m \\) and \\( \angle n m j \\) \\( \angle n m j \\) and \\( \angle i j h \\)

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 pair

  • For \(\angle IJH\) and \(\angle KJH\):

They share a common vertex \(J\) and a common side \(JH\), and have no overlapping interior points.

  • For \(\angle NMJ\) and \(\angle LMO\):

They do not share a common side.

  • For \(\angle KJM\) and \(\angle NMJ\):

They do not share a common side.

  • For \(\angle NMJ\) and \(\angle IJH\):

They do not share a common vertex or a common side.

Answer:

\(\angle IJH\) and \(\angle KJH\)