document.write( "Question 228666: find the measure of an angle such that the difference between the measures of it's supplement and three times it's complement is 10 degre\r
\n" ); document.write( "\n" ); document.write( "how do I write the formula to solve this?
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Algebra.Com's Answer #169684 by rapaljer(4671)\"\" \"About 
You can put this solution on YOUR website!
Let x = the angle
\n" ); document.write( "90-x= the complement
\n" ); document.write( "180-x= the supplement\r
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\n" ); document.write( "\n" ); document.write( "\"the difference between the measures of its supplement and 3 times its complement is 10\"\r
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\n" ); document.write( "\n" ); document.write( "(180-x)-3(90-x)=10\r
\n" ); document.write( "\n" ); document.write( "180-x-270+ 3x=10
\n" ); document.write( "-90 +2x = 10\r
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\n" ); document.write( "\n" ); document.write( "Add 90 to each side:
\n" ); document.write( "2x= 100
\n" ); document.write( "x=50 degrees = The angle\r
\n" ); document.write( "\n" ); document.write( "Complement = 90-50=40 degrees
\n" ); document.write( "Supplement = 180-50=130 degrees\r
\n" ); document.write( "\n" ); document.write( "Check: 3 times the complement = 3(40)=120 degrees\r
\n" ); document.write( "\n" ); document.write( "The difference between the supplement and 3 times the complement is 10 degrees, so it checks!\r
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\n" ); document.write( "\n" ); document.write( "Dr. Robert J. Rapalje, Retired
\n" ); document.write( "Seminole State College of Florida\r
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