Given the following information, determine which lines, if any, are parallel. State the
postulate or theorem that justifies your answer.

Given the following information determine which lines if any are parallel State the postulate or theorem that justifies your answer class=

Respuesta :

Answer:

parallel lines a and b

parallel lines l and m

Step-by-step explanation:

25 A.

Angles 3 and 7 are alternate interior angles of lines a and b cut by transversal l.

Since angles 3 and 7 are congruent, lines a and b are parallel by the theorem:

If two lines are cut by a transversal such that alternate interior angles are congruent, then the lines are parallel.

25 B.

Angles 5 and 12 are same side interior angles of lines l and m and transversal b.

Since the sum of the measures of the angles 5 and 12 is 180, then angles 5 and 12 are supplementary angles making lines l and m parallel by the theorem:

If two lines are cut by a transversal such that same side interior angles are supplementary, then the lines are parallel.