Question

match the angle - pair relationships.
∠1 and ∠5
∠2 and ∠7
∠4 and ∠7
∠3 and ∠6
alternate interior angles
alternate exterior angles
same side (consecutive) interior angles
corresponding angles

Explanation:

Step1: Recall angle - pair relationship definitions

Corresponding angles are in the same relative position with respect to the transversals and parallel lines. Alternate interior angles are between the two lines and on opposite sides of the transversal. Alternate exterior angles are outside the two lines and on opposite sides of the transversal. Same - side (consecutive) interior angles are between the two lines and on the same side of the transversal.

Step2: Analyze ∠1 and ∠5

∠1 and ∠5 are in the same relative position with respect to the transversals and the parallel lines. So, ∠1 and ∠5 are corresponding angles.

Step3: Analyze ∠2 and ∠7

∠2 and ∠7 are outside the two lines and on opposite sides of the transversal. So, ∠2 and ∠7 are alternate exterior angles.

Step4: Analyze ∠4 and ∠7

∠4 and ∠7 are between the two lines and on opposite sides of the transversal. So, ∠4 and ∠7 are alternate interior angles.

Step5: Analyze ∠3 and ∠6

∠3 and ∠6 are between the two lines and on the same side of the transversal. So, ∠3 and ∠6 are same - side (consecutive) interior angles.

Answer:

∠1 and ∠5: Corresponding Angles
∠2 and ∠7: Alternate Exterior Angles
∠4 and ∠7: Alternate Interior Angles
∠3 and ∠6: Same Side (Consecutive) Interior Angles