document.write( "Question 474938: the difference between the measures of two supplementary angles is 20 degrees. Find the measure of each angle. \n" ); document.write( "

Algebra.Com's Answer #325686 by ilana(307) $\"\"$ $\"About$

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If the measures are x and y degrees, and they are supplementary, then their sum is 180 degrees. So you can write and solve a system of equations.
\n" ); document.write( "x + y = 180
\n" ); document.write( "x - y = 20
\n" ); document.write( "Now you can use any method to solve. Let's use the elimination method by adding the equations together.
\n" ); document.write( "x + x + y - y = 180 + 20
\n" ); document.write( "2x = 200
\n" ); document.write( "x = 100
\n" ); document.write( "Now solve for y.
\n" ); document.write( "100 + y = 180
\n" ); document.write( "y = 80
\n" ); document.write( "So the angles measure 100 and 80 degrees. \n" ); document.write( "

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