QUESTION IMAGE
Question
select all the pairs of alternate exterior angles.
∠poq and ∠klj
∠klo and ∠mlo
∠klj and ∠nol
∠mlj and ∠noq
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.
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$\angle POQ$ and $\angle KLJ$, $\angle KLJ$ and $\angle NOL$, $\angle MLJ$ and $\angle NOQ$