Question

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

Explanation:

Step1: Identify vertical - angles

Vertical angles are opposite each other when two lines intersect. In the given figure, ∠1 and ∠3 are opposite each other, and ∠2 and ∠4 are opposite each other. Also, ∠5 and ∠7 are opposite, and ∠6 and ∠8 are opposite. For the first part (angles opposite by the vertex), we can choose ∠1 and ∠3 (or any other pair of vertical - angles).

Step2: Identify supplementary angles

Supplementary angles are two angles whose sum is 180°. Adjacent angles formed by two intersecting lines are supplementary. For example, ∠1 and ∠2 are adjacent and supplementary.

Answer:

(a) ∠1, ∠3
(b) ∠1, ∠2