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(a) ángulos alternos externos: ∠ y ∠ (b) ángulos correspondientes: ∠ y …

Question

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

Explanation:

Step1: Identify alternate exterior angles

Alternate exterior angles are non - adjacent and on opposite sides of the transversal outside the two lines. So, $\angle1$ and $\angle7$, $\angle2$ and $\angle8$ are alternate exterior angles.

Step2: Identify corresponding angles

Corresponding angles are in the same relative position. So, $\angle1$ and $\angle5$, $\angle2$ and $\angle6$, $\angle3$ and $\angle7$, $\angle4$ and $\angle8$ are corresponding angles.

Step3: Identify alternate interior angles

Alternate interior angles are non - adjacent and on opposite sides of the transversal inside the two lines. So, $\angle3$ and $\angle5$, $\angle4$ and $\angle6$ are alternate interior angles.

Answer:

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