10. Which of the following condition is sufficient to show that two lines cut by transversal are parallel?
A. alternate interior angles are supplementary
B.alternate exterior angles are congruent
C.corresponding angles are complementary
D.consecutive exterior angles are congruent
Answers & Comments
Answer:
B. Alternate exterior angles are congruent
Step-by-step explanation:
If two lines are cut by a transversal and the alternate exterior angles are equal, then the two lines are parallel. Angles can be equal or congruent; you can replace the word "equal" in both theorems with "congruent" without affecting the theorem. So if ∠B and ∠L are equal (or congruent), the lines are parallel.