document.write( "Question 1050398: Two angles are supplementary. One angle has a measure that is five less than four times the other. What is the measure of the larger angle? \n" ); document.write( "

Algebra.Com's Answer #666084 by LinnW(1048) $\"\"$ $\"About$

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Let x and y be the angles
\n" ); document.write( "x + y = 180
\n" ); document.write( "add -y to each side
\n" ); document.write( "x = 180 - y
\n" ); document.write( "x - 5 = 4y
\n" ); document.write( "substitute (180 - y) for x
\n" ); document.write( "(180 - y) - 5 = 4y
\n" ); document.write( "175 - y = 4y
\n" ); document.write( "add y to each side
\n" ); document.write( "175 = 5y
\n" ); document.write( "divide each side by 5
\n" ); document.write( "35 = y
\n" ); document.write( "Since x = 180 - y, x = 180 - 35
\n" ); document.write( "x = 145
\n" ); document.write( "The larger angle is 145 degrees.
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