document.write( "Question 1039593: find the value of each variable the diagram shows a large x the left angle shows 3x+8 the right angle shows 5x-20 and the bottom angle shows 5x+4y \n" ); document.write( "
Algebra.Com's Answer #654360 by josgarithmetic(39620)\"\" \"About 
You can put this solution on YOUR website!
Vertical angles are congruent. Your \"left\" and \"right\" angles are of equal measure, so 5x-20=3x+8.\r
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\n" ); document.write( "\n" ); document.write( "The sum of ALL FOUR angles is 360 degrees, so....,
\n" ); document.write( "but what you need next is that your \"bottom\" angle and your \"right\" OR \"left\" angle are supplementary, meaning their sum is 180 degrees. TWO of them; NOT the three of them.
\n" ); document.write( "Arbitrarily picking one, \"3x%2B8%2B5x%2B4y=180\", and you would have already solved for x.
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