Question

(a) ángulos alternos externos: ∠□ y ∠□ (b) ángulos alternos internos: ∠□ y ∠□ (c) ángulos correspondientes: ∠□ y ∠□

Explanation:

Step1: Recall definitions

• Alternate - exterior angles: When two parallel lines are cut by a transversal, alternate - exterior angles are non - adjacent exterior angles that lie on opposite sides of the transversal.
• Alternate - interior angles: When two parallel lines are cut by a transversal, alternate - interior angles are non - adjacent interior angles that lie on opposite sides of the transversal.
• Corresponding angles: When two parallel lines are cut by a transversal, corresponding angles are in the same relative position.

Step2: Identify angle pairs

• For (a) Alternos externos (Alternate - exterior angles): \(\angle4\) and \(\angle1\), \(\angle8\) and \(\angle5\)
• For (b) Alternos internos (Alternate - interior angles): \(\angle7\) and \(\angle6\), \(\angle3\) and \(\angle2\)
• For (c) Correspondientes (Corresponding angles): \(\angle4\) and \(\angle2\), \(\angle8\) and \(\angle6\), \(\angle3\) and \(\angle1\), \(\angle7\) and \(\angle5\)

Answer:

(a) \(\angle4\) y \(\angle1\), \(\angle8\) y \(\angle5\)
(b) \(\angle7\) y \(\angle6\), \(\angle3\) y \(\angle2\)
(c) \(\angle4\) y \(\angle2\), \(\angle8\) y \(\angle6\), \(\angle3\) y \(\angle1\), \(\angle7\) y \(\angle5\)