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(a) ángulos alternos internos: (b) ángulos alternos externos: (c) ángul…

Question

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

Explanation:

Step1: Recall the definitions

  • Alternate - interior angles: When two parallel lines are cut by a transversal, alternate - interior angles are non - adjacent interior angles on opposite sides of the transversal.
  • Alternate - exterior angles: When two parallel lines are cut by a transversal, alternate - exterior angles are non - adjacent exterior angles 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 the pairs

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

Answer:

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