Question

select all the pairs of corresponding angles.

∠mlj and ∠poq
∠mlo and ∠poq
∠klo and ∠noq
∠nol and ∠klj

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position with respect to the transversal and the parallel lines.

Step2: Analyze each pair

For two parallel lines \(NP\) and \(KM\) cut by transversal \(QJ\):

• \(\angle MLJ\) and \(\angle POQ\): They are in the same relative position above the parallel lines and to the right of the transversal.
• \(\angle MLO\) and \(\angle POQ\) are not corresponding angles.
• \(\angle KLO\) and \(\angle NOQ\): They are in the same relative position below the parallel lines and to the left of the transversal.
• \(\angle NOL\) and \(\angle KLJ\): They are in the same relative position above the parallel lines and to the left of the transversal.

Answer:

\(\angle MLJ\) and \(\angle POQ\), \(\angle KLO\) and \(\angle NOQ\), \(\angle NOL\) and \(\angle KLJ\)