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Mathematics 21 Online
OpenStudy (anonymous):

If m // n, what is m∠1? A. 124° B. 31° C. 62° D. 56°

OpenStudy (mathstudent55):

Is there a figure with this problem?

OpenStudy (anonymous):

yes @mathstudent55

OpenStudy (anonymous):

OpenStudy (mathstudent55):

Look at this figure: |dw:1399254191902:dw|

OpenStudy (mathstudent55):

Angles 1 and 3 are called "alternate interior angles." Angles 2 and 4 are also called "alternate interior angles." There is a theorem about parallel lines cut by a transversal. If two parallel lines are cut by a transversal, then alternate interior angles are congruent. In this case, lines m and n are parallel. t is the transversal. You can conclude that: 1) angles 1 and 3 are congruent. 2) angles 2 and 4 are congruent. Now apply this to your problem.

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