Question

Which pair of angles are congruent?

A) 1 and 8

B) 4 and 6

C) 5 and 6

D) 1 and 7

Answer 1

Option A

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.