document.write( "Question 215331: if one-half of the complement of an angle plus three-fourths of the supplement of the angle equals 110, find the measure of the angle. \n" ); document.write( "
Algebra.Com's Answer #162693 by ankor@dixie-net.com(22740)\"\" \"About 
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if one-half of the complement of an angle plus three-fourths of the supplement of the angle equals 110, find the measure of the angle.
\n" ); document.write( ":
\n" ); document.write( "Let x = \"the angle\"
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\n" ); document.write( "\"if one-half of the complement of an angle\"
\n" ); document.write( ".5(90-x)
\n" ); document.write( ":
\n" ); document.write( "\"three-fourths of the supplement\"
\n" ); document.write( ".75(180-x)
\n" ); document.write( ":
\n" ); document.write( "find the measure of the angle.
\n" ); document.write( ":
\n" ); document.write( "Write the equation for the statement:
\n" ); document.write( "\"one-half of the complement of an angle plus three-fourths of the supplement of the angle equals 110,\"
\n" ); document.write( ":
\n" ); document.write( ".5(90-x) + .75(180-x) = 110
\n" ); document.write( "45 - .5x + 135 - .75x = 110
\n" ); document.write( "180 - 1.25x = 110
\n" ); document.write( "180 - 110 = +1.25x
\n" ); document.write( "x = \"70%2F1.25\"
\n" ); document.write( "x = 56 degrees
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "See if this is true in the statement:
\n" ); document.write( "one-half of the complement of an angle plus three-fourths of the supplement of the angle equals 110,
\n" ); document.write( ".5(90-56) + .75(180-56) =
\n" ); document.write( ".5(34) + .75(124) =
\n" ); document.write( "17 + 93 = 110 \n" ); document.write( "
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