A
B
C
D
Explanation
Correct answer: B.
Choice B is correct. In the figure shown, transversal intersects lines and . Two lines intersected by a transversal are parallel if and only if a pair of alternate interior angles have equal measure. The angle marked and the angle marked form a pair of alternate interior angles. Therefore, is sufficient to prove that lines and are parallel.
Why the other choices are wrong
Choice A
Choice A is incorrect and may result from conceptual errors.
Choice C
Choice C is incorrect and may result from conceptual errors.
Choice D
Choice D is incorrect and may result from conceptual errors.