document.write( "Question 1036366: An angle measures 132° less than the measure of a supplementary angle. What is the measure of each angle? \n" ); document.write( "

Algebra.Com's Answer #651017 by Theo(13342) $\"\"$ $\"About$

You can put this solution on YOUR website!
let x equal the angle.
\n" ); document.write( "the supplementary angle is 180 - x.
\n" ); document.write( "you are told that the angle measures 132 degrees less than the supplementary angle.
\n" ); document.write( "this means that x = 180 - x - 132.
\n" ); document.write( "combine like terms to get x = 48 - x.
\n" ); document.write( "add x to both sides of this equation to get 2x = 48.
\n" ); document.write( "divide both sides of this equation by 2 to get x = 24.
\n" ); document.write( "the angle is 24.
\n" ); document.write( "the supplementary angle is 180 - 24 = 156.
\n" ); document.write( "the angle measures 132 degrees less than the supplementary angle.
\n" ); document.write( "if the angle is 132 degrees less than the supplementary angle of 156 degrees, then 24 + 132 must be equal to 156.
\n" ); document.write( "it is, therefore the solution is correct.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );