Question

in order for c||d, how must ∠2 and ∠7 be related? how must ∠3 and ∠5 be related? in order for c||d, ∠2 and ∠7 must be and ∠3 and ∠5 must be

Explanation:

Step1: Recall parallel - line angle relationships

When two lines are parallel, alternate exterior angles are congruent. $\angle2$ and $\angle7$ are alternate exterior angles.

Step2: Recall parallel - line angle relationships

When two lines are parallel, same - side interior angles are supplementary. $\angle3$ and $\angle5$ are same - side interior angles.

Answer:

$\angle2$ and $\angle7$ must be congruent; $\angle3$ and $\angle5$ must be supplementary.