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Mathematics 10 Online
OpenStudy (anonymous):

Help !!! Look At Attachment Medal + Fan

OpenStudy (anonymous):

HanAkoSolo (jamierox4ev3r):

the answer would be D

OpenStudy (anonymous):

can you explain how you got it

HanAkoSolo (jamierox4ev3r):

the two angles are supplementary\

OpenStudy (mathstudent55):

Theorem: If two parallel lines are cut by a transversal, same side interior angles are supplementary.

HanAkoSolo (jamierox4ev3r):

they make up 180 degrees and 180-82=98 degrees

HanAkoSolo (jamierox4ev3r):

all this is according to the theorum that @mathstudent55 provided

OpenStudy (mathstudent55):

If you are not familiar with that theorem, this is how we know it: Theorem: If two parallel lines are cut by a transversal, then corresponding angles are congruent. |dw:1374514431303:dw|

OpenStudy (mathstudent55):

That means m<2 = 82. Also, <1 and <2 are supplementary. Since <2 and 82 have the same measure, substitute 82 for <2 in the supplementary statement. <1 is supplementary to 82.

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