document.write( "Question 508930: The supplement of an angle is 26 more than five times its complement. what is the measure of your angle? \n" ); document.write( "
Algebra.Com's Answer #341176 by oberobic(2304)\"\" \"About 
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A = the angle
\n" ); document.write( "C = its complement
\n" ); document.write( "C = 90-A
\n" ); document.write( "S = its supplement
\n" ); document.write( "S = 180-A
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\n" ); document.write( "S = 5*C + 26
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\n" ); document.write( "S = S
\n" ); document.write( "so
\n" ); document.write( "180-A = 5*C+26
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\n" ); document.write( "substitute C = 90-A
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\n" ); document.write( "180-A = 5(90-A) + 26
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\n" ); document.write( "180-A = 450 -5A + 26
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\n" ); document.write( "180-A = 476 -5A
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\n" ); document.write( "4A = 296
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\n" ); document.write( "A = 74
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\n" ); document.write( "C = 90-74 = 16
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\n" ); document.write( "S = 180-74 = 106
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\n" ); document.write( "Check to see if this solution is the answer.
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\n" ); document.write( "5C + 26 = 5(16) + 26 = 106
\n" ); document.write( "Correct.
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\n" ); document.write( "Answer: The angle is 74 degrees.
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\n" ); document.write( "Done.
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