Question

corresponding angles: ∠2 and ____
alternate interior angles: ∠2 and ____
alternate exterior angles: ∠4 and ____
consecutive (same - side) interior angles: ∠2 and ____
consecutive (same - side) exterior angles: ∠4 and ____
vertical angles: ∠2 and ____
linear pair: ∠4 and ____

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position. ∠2 and ∠6 are corresponding angles.

Step2: Recall alternate - interior angles definition

Alternate - interior angles are between the two lines and on opposite sides of the transversal. ∠2 and ∠8 are alternate - interior angles.

Step3: Recall alternate - exterior angles definition

Alternate - exterior angles are outside the two lines and on opposite sides of the transversal. ∠4 and ∠6 are alternate - exterior angles.

Step4: Recall consecutive (same - side) interior angles definition

Consecutive (same - side) interior angles are between the two lines and on the same side of the transversal. ∠2 and ∠5 are consecutive (same - side) interior angles.

Step5: Recall consecutive (same - side) exterior angles definition

Consecutive (same - side) exterior angles are outside the two lines and on the same side of the transversal. ∠4 and ∠5 are consecutive (same - side) exterior angles.

Step6: Recall vertical angles definition

Vertical angles are opposite each other when two lines intersect. ∠2 and ∠4 are vertical angles.

Step7: Recall linear - pair definition

A linear pair is two adjacent angles that form a straight line. ∠4 and ∠3 are a linear pair.

Answer:

Corresponding Angles: ∠2 and ∠6
Alternate Interior Angles: ∠2 and ∠8
Alternate Exterior Angles: ∠4 and ∠6
Consecutive (Same Side) Interior Angles: ∠2 and ∠5
Consecutive (Same Side) Exterior Angles: ∠4 and ∠5
Vertical Angles: ∠2 and ∠4
Linear Pair: ∠4 and ∠3