document.write( "Question 99498: Thanks for your help. I am a mom trying to help my daughter and we both are stuck on this one. Please see if you can help us understand it. The problem is from a worksheet. The question is: Find the measure of an angle for which the sum of the measures of its complement and its supplement are 178 degrees. \n" ); document.write( "
Algebra.Com's Answer #72370 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
he question is: Find the measure of an angle for which the sum of the measures of its complement and its supplement are 178 degrees.
\n" ); document.write( ":
\n" ); document.write( "Let the angle = x
\n" ); document.write( ":
\n" ); document.write( "Complement 90 - x
\n" ); document.write( "Supplement: 180 - x
\n" ); document.write( ":
\n" ); document.write( "Complement + supplement = 178
\n" ); document.write( "(90 - x) + (180 - x) = 178
\n" ); document.write( "90 + 180 - x - x = 178
\n" ); document.write( "270 - 2x = 178
\n" ); document.write( "-2x = 178 - 270
\n" ); document.write( "-2x = -92
\n" ); document.write( "x = -92/-2
\n" ); document.write( "x = + 46 degrees
\n" ); document.write( ":
\n" ); document.write( "Did this help? \n" ); document.write( "
\n" );