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 with respect to the parallel lines and the transversal.

Step2: Identify corresponding - angle pairs

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

Answer:

$\angle2\cong\angle6$