Question

lines c and d are parallel lines cut by transversal p. which must be true by the corresponding angles theorem? ∠1≅∠7 ∠2≅∠6 ∠3≅∠5 ∠5≅∠7

Explanation:

Step1: Recall corresponding - angles theorem

When two parallel lines are cut by a transversal, corresponding angles are congruent. Corresponding angles are in the same relative position at each intersection.

Step2: Identify corresponding - angle pairs

In the given diagram, $\angle1$ and $\angle5$, $\angle2$ and $\angle6$, $\angle3$ and $\angle7$, $\angle4$ and $\angle8$ are corresponding - angle pairs.

Answer:

$\angle2\cong\angle6$