document.write( "Question 127317: the complement of an angle is 18 degrees more than 1/3 its supplement. find the measure of the angle. \n" ); document.write( "

Algebra.Com's Answer #93331 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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The complement of an angle is 18 degrees more than 1/3 its supplement. find the measure of the angle.
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\n" ); document.write( "The expression representing the complement of an angle (x):
\n" ); document.write( "(90 - x)
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\n" ); document.write( "The expression representing the supplement of an angle (x)
\n" ); document.write( "(180 - x)
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\n" ); document.write( "\"the complement of an angle is 18 degrees more than 1/3 its supplement.\"
\n" ); document.write( " (90 - x) = $\"1%2F3\"$ (180-x) + 18
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\n" ); document.write( "90 - x = 60 - $\"1%2F3\"$ x + 18; found one third of 180
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\n" ); document.write( "90 - x = 78 - $\"1%2F3\"$ x
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\n" ); document.write( "90 - 78 = - $\"1%2F3\"$ x + x
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\n" ); document.write( "12 = + $\"2%2F3\"$ x
\n" ); document.write( "Multiply equation by 3 to get rid of the denominator
\n" ); document.write( "3(12) = 3* $\"2%2F3\"$ x
\n" ); document.write( "36 = 2x
\n" ); document.write( "x = $\"36%2F2\"$
\n" ); document.write( "x = 18 degrees
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\n" ); document.write( "Check solution using the statement:
\n" ); document.write( "\"the complement of an angle is 18 degrees more than 1/3 its supplement.\"
\n" ); document.write( "(90 - 18) = $\"1%2F3\"$ (180-18) + 18
\n" ); document.write( "72 = $\"1%2F3\"$ *162 + 18
\n" ); document.write( "72 = 54 + 18
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