document.write( "Question 319447: Seven times the complement of an angle is 6 more than the supplement of the angle. What is the measure of the angle? \n" ); document.write( "

Algebra.Com's Answer #228799 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Seven times the complement of an angle is 6 more than the supplement of the angle.
\n" ); document.write( " What is the measure of the angle?
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\n" ); document.write( "Let x = the angle
\n" ); document.write( "we know
\n" ); document.write( "(90-x) = complement of x
\n" ); document.write( "and
\n" ); document.write( "(180-x)= supplement of x
\n" ); document.write( ":
\n" ); document.write( "The equation for the statement:
\n" ); document.write( "\"Seven times the complement of an angle is 6 more than the supplement of the angle.\"
\n" ); document.write( "7(90-x) = (180-x) + 6
\n" ); document.write( "630 - 7x = -x + 186
\n" ); document.write( "630 - 186 = -x + 7x
\n" ); document.write( "444 = 6x
\n" ); document.write( "x = $\"444%2F6\"$
\n" ); document.write( "x = 74 degrees is the angle
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "YOu can confirm the solution in the original equation \n" ); document.write( "

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