document.write( "Question 500266: The supplement of an angle is 26 more than 5 times its complement. Find the measure of the angle. \r
\n" ); document.write( "\n" ); document.write( "I need this explained thoroughly, so I can figure out similar problems! Thank you!
\n" ); document.write( "ASAP would be nice too!\r
\n" ); document.write( "\n" ); document.write( "Thanks!
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Algebra.Com's Answer #338146 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
The supplement of an angle is 26 more than 5 times its complement.
\n" ); document.write( "Find the measure of the angle.
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\n" ); document.write( "Let x = the angle
\n" ); document.write( "then
\n" ); document.write( "(180-x) is the supplement of x
\n" ); document.write( "and
\n" ); document.write( "(90-x) is the complement of x
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\n" ); document.write( "With this information, write an equation for the statement
\n" ); document.write( "\"The supplement of an angle is 26 more than 5 times its complement.\"
\n" ); document.write( "(180-x) = 26 + 5(90-x)
\n" ); document.write( "180 - x = 26 + 450 - 5x
\n" ); document.write( "-x + 5x = 26 + 450 - 180
\n" ); document.write( "4x = 296
\n" ); document.write( "x = \"296%2F4\"
\n" ); document.write( "x = 74 degrees is the angle
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\n" ); document.write( ":
\n" ); document.write( "See if the satisfied the statement;
\n" ); document.write( "The supplement of an angle is 26 more than 5 times its complement.
\n" ); document.write( "(180-74) = 26 + 5(90-74)
\n" ); document.write( "106 = 26 + 5(16)
\n" ); document.write( "106 = 26 + 80; confirms our solution
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