Question

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

Explanation:

Step1: Recall the definition of alternate interior angles

Alternate interior angles are formed when a transversal crosses two parallel lines. They are non - adjacent and lie between the two parallel lines, on opposite sides of the transversal. So, for alternate interior angles, we look for pairs like \( \angle 3\) and \( \angle 6\), \( \angle 4\) and \( \angle 5\).

Step2: Recall the definition of corresponding angles

Corresponding angles are in the same relative position. When a transversal crosses two parallel lines, if we consider the "matching" positions, for example, \( \angle 1\) and \( \angle 3\), \( \angle 2\) and \( \angle 4\), \( \angle 5\) and \( \angle 7\), \( \angle 6\) and \( \angle 8\).

Step3: Recall the definition of alternate exterior angles

Alternate exterior angles are non - adjacent and lie outside the two parallel lines, on opposite sides of the transversal. So, \( \angle 1\) and \( \angle 7\), \( \angle 2\) and \( \angle 8\).

Answer:

(a) Alternos internos: \( \angle 3\) y \( \angle 6\), \( \angle 4\) y \( \angle 5\)
(b) Correspondientes: \( \angle 1\) y \( \angle 3\), \( \angle 2\) y \( \angle 4\), \( \angle 5\) y \( \angle 7\), \( \angle 6\) y \( \angle 8\)
(c) Alternos externos: \( \angle 1\) y \( \angle 7\), \( \angle 2\) y \( \angle 8\)