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solong [7]
1 year ago
12

Given the following information, determine which lines, if any, are parallel. State the

Mathematics
1 answer:
Leokris [45]1 year ago
4 0

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:

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

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:

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

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