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non - examples: corresponding angles alternate interior angles alternat…

Question

non - examples:
corresponding angles
alternate interior angles
alternate exterior angles
consecutive (same - side) interior angles
consecutive (same - side) exterior angles
angles formed by a transversal
name that transversal!
∠1 and ∠12
∠3 and ∠6
∠7 and ∠13
∠12 and ∠14

Explanation:

Step1: Recall the definitions of different angle pairs

  • Corresponding angles: Angles that are in the same relative position.
  • Alternate interior angles: Non - adjacent interior angles on opposite sides of the transversal.
  • Alternate exterior angles: Non - adjacent exterior angles on opposite sides of the transversal.
  • Consecutive (Same - Side) interior angles: Interior angles on the same side of the transversal.
  • Consecutive (Same - Side) exterior angles: Exterior angles on the same side of the transversal.

Step2: Identify each pair

  • ∠1 and ∠12: Alternate exterior angles.
  • ∠3 and ∠6: Alternate interior angles.
  • ∠7 and ∠13: Corresponding angles.
  • ∠12 and ∠14: Consecutive (Same - Side) exterior angles.

Answer:

∠1 and ∠12: Alternate exterior angles.
∠3 and ∠6: Alternate interior angles.
∠7 and ∠13: Corresponding angles.
∠12 and ∠14: Consecutive (Same - Side) exterior angles.