Classification of angle relationships: Angle 1 and 7: Alternate exterior angles, Angle 3 and 7: Corresponding angles, Angle 3 and 5: Alternate interior angles, Angle 6 and 8: Alternate interior angles, and Angle 1 and 7: Linear pair.
Alternate Exterior Angles:
Angles that lie outside parallel lines and on opposite sides of the transversal. Example: Angle 1 and 7.
Corresponding Angles:
Angles that lie in the same position relative to parallel lines and the transversal. Example: Angle 3 and 7.
Alternate Interior Angles:
Angles that lie inside parallel lines and on opposite sides of the transversal. Examples: Angle 3 and 5, Angle 6 and 8.
Same-Side Interior Angles: Angles that lie inside parallel lines and on the same side of the transversal.
Vertical Angles:
Angles that are opposite each other when two lines intersect.
Linear Pair:
Two supplementary angles that form a straight line. Example: Angle 1 and 7.