document.write( "Question 794708: The measure of the supplement of an angle is one fourth the measure of the angle. I think the answer would be one fourth, but I'm not sure because I've never seen or done a math problem like this before. Please help! \n" ); document.write( "

Algebra.Com's Answer #480774 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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The measure of the supplement of an angle is one fourth the measure of the angle. I think the answer would be one fourth,
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\n" ); document.write( "Let A = \"the angle\"
\n" ); document.write( "then by definition
\n" ); document.write( "180-A = the supplement of the angle
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\n" ); document.write( "We are gong to find A:
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\n" ); document.write( "The equation for the statement (the word \"is\" usually means equal:
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\n" ); document.write( "\"The measure of the supplement of an angle is one fourth the measure of the angle. \"
\n" ); document.write( "(180-A) = $\"1%2F4\"$ A
\n" ); document.write( "Get rid of the fraction, multiply both sides by 4
\n" ); document.write( "4(180-A) = A
\n" ); document.write( "720 - 4A = A
\n" ); document.write( "Add 4A to both sides
\n" ); document.write( "720 = A + 4A
\n" ); document.write( "720 = 5A
\n" ); document.write( "A = 720/5
\n" ); document.write( "A = 144 is angle (A)
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\n" ); document.write( "See if that is true
\n" ); document.write( "180 - 144 = 36 degrees is the supplement
\n" ); document.write( " $\"1%2F4\"$ *144 = 36 degrees; confirms our answer \n" ); document.write( "

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