$KM^{\overrightarrow{h}}$ and $NP^{\overrightarrow{h}}$ are parallel lines. Which angles are adjacent angles? $\newline$ $/_{MLO}$ and $/_{MLJ}$ $\newline$ $/_{KLO}$ and $/_{NOL}$ $\newline$ $/_{KU}$ and $/_{POL}$ $\newline$ $/_{NOL}$ and $/_{MLO}$

Full solution

KM^{\overrightarrow{h}}

and

NP^{\overrightarrow{h}}

are parallel lines. Which angles are adjacent angles?

\newline

/_{MLO}

and

/_{MLJ}

\newline

/_{KLO}

and

/_{NOL}

\newline

/_{KU}

and

/_{POL}

\newline

/_{NOL}

and

/_{MLO}

Visualize angles on parallel lines: Look at the pairs of angles given and visualize them with respect to the parallel lines $KM$ and $NP$ . Adjacent angles share a common side and vertex, but do not overlap.
Identify non-adjacent angles: $\angle MLO$ and $\angle MLJ$ are not adjacent because they don't share a common side.
Identify adjacent angles: $\angle KLO$ and $\angle NOL$ are adjacent because they share a common side $LO$ and vertex $O$ , and they are between the parallel lines $KM$ and $NP$ .
Identify non-adjacent angles: $\angle KU$ and $\angle POL$ are not adjacent because they don't share a common side or vertex.
Identify non-adjacent angles: $\angle NOL$ and $\angle MLO$ are not adjacent because they are on opposite sides of the transversal $OL$ and don't share a common side.