document.write( "Question 99903: The Measure of the supplement of an angle is 12 more than four times the complement. Find the measure of the angle. \n" ); document.write( "
Algebra.Com's Answer #72962 by ankor@dixie-net.com(22740)\"\" \"About 
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The Measure of the supplement of an angle is 12 more than four times the complement. Find the measure of the angle.
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\n" ); document.write( "Let x = an angle
\n" ); document.write( "The supplement = (180-x
\n" ); document.write( "The complement = (90-x)
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\n" ); document.write( "write what it says:
\n" ); document.write( "\"supplement of an angle is 12 more than four times the complement.
\n" ); document.write( " (180 - x) = 4(90 - x) + 12
\n" ); document.write( " 180 - x = 360 - 4x + 12
\n" ); document.write( " 180 - x = 372 - 4x
\n" ); document.write( " 4x - x = 372 - 180
\n" ); document.write( " 3x = 192
\n" ); document.write( " x = 192/3
\n" ); document.write( " x = 64 degrees is the angle
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\n" ); document.write( "Check solution:
\n" ); document.write( "Supplement: 180 - 64 = 116
\n" ); document.write( "Complement: 90 - 64 = 26
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\n" ); document.write( "Using the statement:
\n" ); document.write( "\"supplement of an angle is 12 more than four times the complement.\"
\n" ); document.write( " 116 = 4(26) + 12
\n" ); document.write( " 116 = 104 + 12, confirms our solution \n" ); document.write( "
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