Answer :

Final answer:

When a transversal cuts across two parallel lines, several types of angles are formed, including corresponding angles, alternate interior angles, alternate exterior angles, consecutive interior angles, and vertical angles.

Explanation:

Identifying angles associated with parallel lines cut by a transversal:

When a transversal cuts across two parallel lines, several types of angles are formed. These angles can be classified into corresponding angles, alternate interior angles, alternate exterior angles, consecutive interior angles, and vertical angles.

  1. Corresponding angles: These are angles that occupy the same relative position on each of the parallel lines and are on opposite sides of the transversal. They have equal measure.
  2. Alternate interior angles: These are angles that are on opposite sides of the transversal, and between the two parallel lines. They have equal measure.
  3. Alternate exterior angles: These are angles that are on opposite sides of the transversal, but outside the two parallel lines. They have equal measure.
  4. Consecutive interior angles: These are angles that are on the same side of the transversal and inside the two parallel lines. They have a sum of 180 degrees.
  5. Vertical angles: These are pairs of angles that are formed by intersecting lines or transversals. They have equal measure and are opposite each other.

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