Question

1. list out all 4 sets of corresponding angle pairs in the parallel lines cut by a transversal below.

Explanation:

Step1: Recall Corresponding Angles

Corresponding angles are in the same relative position at each intersection where a transversal crosses parallel lines.

Step2: Identify First Pair

Angle 1 and Angle 5: Angle 1 is at the top - left of the upper intersection, Angle 5 is at the top - left of the lower intersection.

Step3: Identify Second Pair

Angle 2 and Angle 6: Angle 2 is at the top - right of the upper intersection, Angle 6 is at the top - right of the lower intersection.

Step4: Identify Third Pair

Angle 3 and Angle 7: Angle 3 is at the bottom - left of the upper intersection, Angle 7 is at the bottom - left of the lower intersection.

Step5: Identify Fourth Pair

Angle 4 and Angle 8: Angle 4 is at the bottom - right of the upper intersection, Angle 8 is at the bottom - right of the lower intersection.

Answer:

The four sets of corresponding angle pairs are: $\angle1$ and $\angle5$, $\angle2$ and $\angle6$, $\angle3$ and $\angle7$, $\angle4$ and $\angle8$