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classify ∠1 and ∠2 on the diagram as corresponding, alternate interior,…

Question

classify ∠1 and ∠2 on the diagram as corresponding, alternate interior, alternate exterior, consecutive (same - side) interior, or consecutive (same - side) exterior angles

Explanation:

Step1: Recall angle - pair definitions

Corresponding angles are in the same relative position at each intersection where a straight - line crosses two others. 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. Consecutive (same - side) interior angles are between the two lines and on the same side of the transversal. Consecutive (same - side) exterior angles are outside the two lines and on the same side of the transversal.

Step2: Analyze each diagram

For each of the given diagrams, identify the position of ∠1 and ∠2 relative to the two lines and the transversal.

Answer:

  1. Consecutive (same - side) interior angles
  2. Alternate interior angles
  3. Alternate exterior angles
  4. Consecutive (same - side) exterior angles
  5. Corresponding angles
  6. Consecutive (same - side) interior angles