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satela [25.4K]
2 years ago
5

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

Mathematics
1 answer:
Bas_tet [7]2 years ago
8 0

1. Lines a and b are parallel by the converse of alternate interior angles theorem

2. l║m by the converse of consecutive interior angles theorem.

<h3>What is the Converse of Alternate Interior Angles Theorem?</h3>

Given that the interior angles, ∠3 ≅ ∠7, according to the converse of alternate interior angles theorem, the lines they are found on, lines a and b would be parallel.

1. Lines a and b are parallel.

<h3>What is the Converse of Consecutive Interior Angles Theorem?</h3>

Given that the interior angles, m∠5 + m∠12 = 180, according to the converse of consecutive interior angles theorem, the lines they are found on, lines l and m would be parallel.

2. Lines l and m are parallel.

Learn more about the converse of alternate interior angles theorem on:

brainly.com/question/10565830

#SPJ1

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