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(a) ángulos correspondientes: (b) ángulos alternos externos: (c) ángulo…

Question

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

Explanation:

Step1: Recall corresponding angles

Corresponding angles are in the same relative position. For example, \(\angle1\) and \(\angle5\) are corresponding angles.

Step2: Recall alternate - exterior angles

Alternate - exterior angles are on opposite sides of the transversal and outside the two lines. For example, \(\angle7\) and \(\angle1\) are alternate - exterior angles.

Step3: Recall alternate - interior angles

Alternate - interior angles are on opposite sides of the transversal and inside the two lines. For example, \(\angle6\) and \(\angle4\) are alternate - interior angles.

Answer:

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