Question

ementarios 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 supplementary. Also, $\angle5$ and $\angle6$ are supplementary. We can choose $\angle1$ and $\angle2$ (answers may vary).

Step2: Recall vertical - angles definition

Vertical angles are opposite each other when two lines intersect. $\angle1$ and $\angle3$ are vertical angles, and $\angle6$ and $\angle8$ are vertical angles. We can choose $\angle6$ and $\angle8$ (answers may vary).

Answer:

(a) $\angle1$ and $\angle2$
(b) $\angle6$ and $\angle8$