Question

lines f, g and h are shown below with angles 1, 2, 3, 4, 5, 6, 7 and 8. which answer choice correctly completes the statement below? if ∠3 ≅ ∠5 then line f || line g because of the _____. converse of the exterior - angles theorem; converse of the corresponding - angles postulate; converse of the alternate interior angles theorem; converse of the consecutive interior angles theorem

Explanation:

When two lines are parallel, corresponding angles are equal. The converse of the corresponding - angles postulate states that if corresponding angles are equal, then the lines are parallel. Here, if ∠3 = ∠7, then line f is parallel to line g because of the converse of the corresponding angles postulate.

Answer:

B. converse of the corresponding angles postulate