Question

identificar un par de ángulos suplementarios y un par de ángulos opuestos por el vértice que se muestran en la figura adelante. (a) ángulos suplementarios: ∠ y ∠ (b) ángulos opuestos por el vértice: ∠ y ∠

Explanation:

Step1: Recall supplementary - angles definition

Supplementary angles add up to 180 degrees. Adjacent angles formed by two intersecting lines are supplementary. For example, $\angle1$ and $\angle2$ are adjacent and $\angle1+\angle2 = 180^{\circ}$.

Step2: Recall vertical - angles definition

Vertical angles are opposite each other when two lines intersect. For example, $\angle1$ and $\angle3$ are vertical angles.

Answer:

(a) $\angle1$ y $\angle2$ (answers may vary, other adjacent - angle pairs like $\angle3$ and $\angle4$, $\angle5$ and $\angle6$, $\angle7$ and $\angle8$ are also correct)
(b) $\angle1$ y $\angle3$ (answers may vary, other vertical - angle pairs like $\angle2$ and $\angle4$, $\angle5$ and $\angle7$, $\angle6$ and $\angle8$ are also correct)