Question

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

Answer 1

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.

What is the Converse of Alternate Interior Angles Theorem?

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.

What is the Converse of Consecutive Interior Angles Theorem?

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:

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