Which pair of angles are congruent?
A) 1 and 8
B) 4 and 6
C) 5 and 6
D) 1 and 7

Answer:
Option A
Step-by-step explanation:
Two parallel lines and a transversal line intersecting these lines have been given in the picture.
Option (A)
∠1 ≅ ∠8 [Alternate exterior angles]
Option (B)
m∠4 + m∠6 = 180° [Consecutive interior angles]
Therefore, m∠4 ≠ m∠6
Option (C)
m∠5 + m∠6 = 180° [linear pair of angles are supplementary]
Therefore, m∠5 ≠ m∠6
Option (D)
m∠1 + m∠7 = 180° [Corresponding exterior angles]
Therefore, ∠1 ≠ ∠7
Option (A) is the answer.