document.write( "Question 746956: Parallel lines are cut by a transversal such that the alternate interior angles have measures of 3x + 17 and x + 53 degrees. The value of x is\r
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\n" ); document.write( "\n" ); document.write( "9
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Algebra.Com's Answer #454597 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
if the lines are parallel, then the alternate interior angles are congruent, so we know that\r
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\n" ); document.write( "\n" ); document.write( "3x + 17 = x + 53\r
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\n" ); document.write( "\n" ); document.write( "3x + 17 - x = 53\r
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\n" ); document.write( "\n" ); document.write( "3x - x = 53 - 17\r
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\n" ); document.write( "\n" ); document.write( "2x = 36\r
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\n" ); document.write( "\n" ); document.write( "x = 36/2\r
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\n" ); document.write( "\n" ); document.write( "x = 18
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