document.write( "Question 270294: The supplement of an angle measures three times its complement. What is the original angle? \n" ); document.write( "
Algebra.Com's Answer #198043 by josmiceli(19441)\"\" \"About 
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Let \"a\" = the angle in degrees
\n" ); document.write( "\"180+-+a\" = it's supplement
\n" ); document.write( "\"90+-+a\" = it's complement
\n" ); document.write( "given:
\n" ); document.write( "\"180+-+a+=+3%2A%2890+-+a%29\"
\n" ); document.write( "---------------------------
\n" ); document.write( "\"180+-+a+=+270+-+3a\"
\n" ); document.write( "add \"3a\" to both sides
\n" ); document.write( "\"180+%2B+2a+=+270\"
\n" ); document.write( "subtract \"180\" from both sides
\n" ); document.write( "\"2a+=+90\"
\n" ); document.write( "\"a+=+45\"
\n" ); document.write( "The angle is 45 degrees
\n" ); document.write( "check:
\n" ); document.write( "\"180+-+a+=+3%2A%2890+-+a%29\"
\n" ); document.write( "\"180+-+45+=+3%2A%2890+-+45%29\"
\n" ); document.write( "\"135+=+3%2A45\"
\n" ); document.write( "\"135+=+135\"
\n" ); document.write( "OK
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