If two lines in a plane are cut by a transversal, a condition which does not imply that the two lines are parallel is: d. A pair of alternate exterior angles are complementary.
Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.
The consecutive interior angles theorem states that when two (2) parallel lines are cut through by a transversal, the interior angles that are formed are congruent and each pair of the consecutive interior angles is supplementary.
In Geometry, the sum of two alternate exterior angles are not complementary when two (2) parallel lines are cut through by a transversal.
Read more on parallel lines here: brainly.com/question/16959398
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Complete Question:
Two lines in a plane are cut by a transversal. Which condition does NOT imply that the two lines are parallel?
a. A pair of alternate interior angles are congruent
b. A pair of co-interior angles are supplementary.
c. A pair of corresponding angles are congruent.
d. A pair of alternate exterior angles are complementary.
