Question

1. (l27) given: ∠2 and ∠7 are supplementary prove: m || n a. definition of parallel lines b. if two lines form congruent alternate interior angles with a transversal, then the lines are parallel. c. if two lines form congruent corresponding angles, then the lines are parallel. d. if two lines form supplementary interior angles on the same side of a transversal, then the lines are parallel. e. if two lines form congruent alternate exterior angles, then the lines are parallel. 20. (l17) given: lines m and t intersect

Explanation:

This question is about the properties and definitions related to parallel lines and angles formed by a transversal. Each option presents a different condition - definition of parallel lines, property of alternate - interior angles, corresponding angles, and same - side interior angles to determine parallel lines.

Answer:

A. Definition of parallel lines
B. If two lines form congruent alternate interior angles with a transversal, then the lines are parallel.
C. If two lines form congruent corresponding angles, then the lines are parallel.
D. If two lines form supplementary interior angles on the same side of a transversal, then the lines are parallel.
E. If two lines form congruent alternate exterior angles, then the lines are parallel.