# Which statement allows us to conclude

label Algebra
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Jun 16th, 2015

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The statement that allows us to conclude that line m and line n are parallel is

B.   $\angle2\cong\angle7$

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The reason for this is as follows.

$\angle6\cong\angle7$ (because vertically opposite angles are equal)

Now, if the two lines are parallel then

$\angle6\cong\angle2$ (because corresponding angles are equal)

So, from the above two expressions, we can can conclude that

$\angle2\cong\angle7$ (because if a = b and b = c then a = c)

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Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 16th, 2015

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Jun 16th, 2015
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Jun 16th, 2015
Nov 21st, 2017
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