Question

two parallel lines, s and t, are cut by the transversal d as shown. suppose m∠2 = 135°. complete the statements below. we see that ∠2 and ∠3 are (choose one) so, m∠3 = °. we see that ∠1 and ∠2 are (choose one) thus, ∠1 and ∠2 are (choose one) so, m∠1 = °. therefore, ∠1 and ∠3 are (choose one) we also see that ∠1 and ∠3 are (choose one) the relationship between ∠1 and ∠3 is an example of the following rule. when parallel lines are cut by a transversal, (choose one)

Explanation:

Step1: Identificar ángulos correspondientes

Los ángulos correspondientes son iguales cuando líneas paralelas son cortadas por una transversal. $\angle2$ y $\angle1$ son ángulos correspondientes, entonces $m\angle1 = m\angle2$. Dado que $m\angle2=135^{\circ}$, entonces $m\angle1 = 135^{\circ}$.

Step2: Identificar ángulos alternos internos

$\angle1$ y $\angle3$ son ángulos alternos internos. Cuando líneas paralelas son cortadas por una transversal, los ángulos alternos internos son iguales. Entonces $m\angle3=m\angle1 = 135^{\circ}$.

Answer:

$m\angle1 = 135^{\circ}$, $m\angle3 = 135^{\circ}$; $\angle1$ y $\angle2$ son ángulos correspondientes; $\angle1$ y $\angle3$ son ángulos alternos internos.