Question

km and np are parallel lines. select all the pairs of corresponding angles. ∠noq and ∠klo ∠pol and ∠mlj ∠poq and ∠mlo ∠nol and ∠klj

Explanation:

Step1: Recall the definition of corresponding angles

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

Step2: Analyze each pair

• For \(\angle NOQ\) and \(\angle KLO\): They are in the same relative position (on the same side of the transversal \(JQ\) and above the parallel lines \(NP\) and \(KM\) respectively).
• For \(\angle POL\) and \(\angle MLJ\): They are in the same relative position (on the same side of the transversal \(JQ\) and below the parallel lines \(NP\) and \(KM\) respectively).
• For \(\angle NO L\) and \(\angle KLJ\): They are in the same relative position (on the same side of the transversal \(JQ\) and above the parallel lines \(NP\) and \(KM\) respectively).
• For \(\angle POQ\) and \(\angle MLO\): They are not in the same relative position. \(\angle POQ\) is below line \(NP\) and \(\angle MLO\) is above line \(KM\) with respect to the transversal - this does not fit the corresponding - angle definition.

Answer:

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