Question

match each angle pair to its proper categorization:
column a

1. angle 2 and angle 6
2. angle 1 and angle 8
3. angle 1 and angle 6
4. angle 2 and angle 5

column b
a. corresponding angles
b. same - side interior angles
c. alternate exterior angles
d. alternate interior angles

Explanation:

Step1: Recall angle - pair definitions

Corresponding angles are in the same relative position. 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 interior angles are between the two lines and on the same side of the transversal.

Step2: Analyze Angle 2 and Angle 6

They are in the same relative position with respect to the transversal and the two lines, so they are corresponding angles.

Step3: Analyze Angle 1 and Angle 8

They are outside the two lines and on opposite sides of the transversal, so they are alternate exterior angles.

Step4: Analyze Angle 1 and Angle 6

They are neither corresponding, alternate interior, alternate exterior nor same - side interior. But if we consider the properties, they do not fit into the common angle - pair categories neatly in a simple way among the given options. However, if we assume the two lines are parallel, they have no specific standard relationship among the given options. But if we consider the position, they are not a typical angle - pair.

Step5: Analyze Angle 2 and Angle 5

They are between the two lines and on opposite sides of the transversal, so they are alternate interior angles.

Answer:

1. a. Corresponding Angles
2. c. Alternate Exterior Angles
3. No match among given options
4. d. Alternate Interior Angles