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select all the pairs of alternate exterior angles. ∠poq and ∠klj ∠klo a…

Question

select all the pairs of alternate exterior angles.
∠poq and ∠klj
∠klo and ∠mlo
∠klj and ∠nol
∠mlj and ∠noq

Explanation:

Step1: Recall alternate - exterior angles definition

Alternate - exterior angles are formed when a transversal intersects two lines. They are outside the two lines and on opposite sides of the transversal.

Step2: Analyze each pair

  • For $\angle POQ$ and $\angle KLJ$: They are outside the lines $MP$ and $KN$ and on opposite sides of the transversal $JQ$, so they are alternate - exterior angles.
  • For $\angle KLO$ and $\angle MLO$: These are adjacent angles, not alternate - exterior angles.
  • For $\angle KLJ$ and $\angle NOL$: They are outside the lines $MP$ and $KN$ and on opposite sides of the transversal $JQ$, so they are alternate - exterior angles.
  • For $\angle MLJ$ and $\angle NOQ$: They are outside the lines $MP$ and $KN$ and on opposite sides of the transversal $JQ$, so they are alternate - exterior angles.

Answer:

$\angle POQ$ and $\angle KLJ$, $\angle KLJ$ and $\angle NOL$, $\angle MLJ$ and $\angle NOQ$