document.write( "Question 882292: Two angles are supplementary. If the larger angle measures 60 less than twice the smaller, find the measure of the larger angle. \n" ); document.write( "
Algebra.Com's Answer #532764 by DrBeeee(684)\"\" \"About 
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Let L = the larger angle in degrees
\n" ); document.write( "Let S = the smaller angle in degrees
\n" ); document.write( "Then we have
\n" ); document.write( "(1) L + S = 180 because they are supplements and add to 180 degrees.
\n" ); document.write( "And the problem statement gives us
\n" ); document.write( "(2) L = 2*S - 60
\n" ); document.write( "Now substitute L of (2) into (1) and get
\n" ); document.write( "(3) 2*S - 60 + S = 180 or
\n" ); document.write( "(4) 3*S = 180 + 60 or
\n" ); document.write( "(5) 3*S = 240 or
\n" ); document.write( "(6) S = 240/3 or
\n" ); document.write( "(7) S = 80
\n" ); document.write( "Use S of (7) in (1) to get
\n" ); document.write( "(8) L + 80 = 180 or
\n" ); document.write( "(9) L = 100
\n" ); document.write( "Let's check these values in (2).
\n" ); document.write( "Is (100 = 2*80 - 60)?
\n" ); document.write( "Is (100 = 160 - 60)?
\n" ); document.write( "Is (100 = 100)? Yes
\n" ); document.write( "Answer: The larger angle of the supplementary angles is 100 degrees, the smaller is 80 degrees.\r
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