document.write( "Question 898688: The supplement of an angle is 122 degrees less than 3 times the supplement of the complement of the angle. Find the measure of the angle. \n" ); document.write( "
Algebra.Com's Answer #544978 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The supplement of an angle is 122 degrees less than 3 times the supplement of the complement of the angle. Find the measure of the angle. \n" ); document.write( ": \n" ); document.write( "let A = the angle \n" ); document.write( ": \n" ); document.write( "Try to write an equation for exactly what it says, then solve for A \n" ); document.write( "180 - A = 3(180 - (90-A)) - 122 \n" ); document.write( "180 - A = 3(180 - 90 + A) - 122 \n" ); document.write( "180 - A = 3(90 + A) - 122 \n" ); document.write( "180 - A = 270 + 3A - 122 \n" ); document.write( "180 - A = 148 + 3A \n" ); document.write( "180 - 148 = 3A + A \n" ); document.write( "32 = 4A \n" ); document.write( "A = 32/4 \n" ); document.write( "A = 8 degrees \n" ); document.write( ": \n" ); document.write( "See of that works out \n" ); document.write( "180 - 8 = 172 is the supplement \n" ); document.write( "90 - 8 = 82 is the complement \n" ); document.write( "Write the statement with this information \n" ); document.write( "\"The supplement of an angle is 122 degrees less than 3 times the supplement of the complement of the angle.\" \n" ); document.write( "172 = 3(180 - 82) - 122 \n" ); document.write( "172 = 3(98) - 122 \n" ); document.write( "172 = 294 - 122 \n" ); document.write( "172 = 172, Equality reigns with this solution, we're so blessed!! \n" ); document.write( " |