document.write( "Question 502589: One angle is twice its supplement increased by 21 degrees. Find the measures of the two supplementary angles. \n" ); document.write( "
Algebra.Com's Answer #338899 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "Let x and y be your two angles. Let y be the larger angle.\r
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\n" ); document.write( "\n" ); document.write( "Because x and y are supplementary angles, we know that \"x%2By=180\"\r
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\n" ); document.write( "\n" ); document.write( "Since \"One angle is twice its supplement increased by 21 degrees\", this means that \"y=2x%2B21\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%2By=180\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%2B%282x%2B21%29=180\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%2B2x%2B21=180\"\r
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\n" ); document.write( "\n" ); document.write( "\"3x%2B21=180\"\r
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\n" ); document.write( "\n" ); document.write( "\"3x=180-21\"\r
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\n" ); document.write( "\n" ); document.write( "\"3x=159\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=159%2F3\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=53\"\r
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\n" ); document.write( "\n" ); document.write( "So the smaller angle is 53 degrees.\r
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\n" ); document.write( "\n" ); document.write( "The larger angle is then \"y=2x%2B21=2%2853%29%2B21=106%2B21=127\" degrees.\r
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\n" ); document.write( "\n" ); document.write( "So the two angles are 53 degrees and 127 degrees\r
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