lines c and d are parallel lines cut by transversal p. which must be true by the corresponding angles…

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

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

Answer

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

For parallel lines (c) and (d) cut by transversal (p), (\angle2) and (\angle6) are corresponding angles. (\angle1) and (\angle5) are corresponding angles, (\angle3) and (\angle7) are corresponding angles, (\angle4) and (\angle8) are corresponding angles.

Answer:

(\angle2\cong\angle6)