Question

km and np are parallel lines. which angles are alternate interior angles? ∠mlo and ∠klo ∠mlo and ∠mlj ∠mlo and ∠nol ∠mlo and ∠poq

Explanation:

Step1: Recall the definition of alternate interior angles

Alternate interior angles are formed when a transversal intersects two parallel lines. They lie between the two parallel lines and on opposite sides of the transversal.

Step2: Analyze each option

• For \(\angle MLO\) and \(\angle KLO\): These angles are adjacent, not alternate interior angles.
• For \(\angle MLO\) and \(\angle MLJ\): These angles are adjacent, not alternate interior angles.
• For \(\angle MLO\) and \(\angle NOL\): Since \(\overleftrightarrow{KM}\parallel\overleftrightarrow{NP}\) and \(QJ\) is the transversal. \(\angle MLO\) and \(\angle NOL\) lie between the parallel lines \(KM\) and \(NP\) and on opposite sides of the transversal \(QJ\).
• For \(\angle MLO\) and \(\angle POQ\): \(\angle POQ\) and \(\angle NOL\) are vertical angles. \(\angle MLO\) and \(\angle POQ\) do not satisfy the alternate - interior - angle relationship.

Answer:

\(\angle MLO\) and \(\angle NOL\)