document.write( "Question 604567: the measure of the supplement of an angle is 40 less than 3 times its complement, find the measure of the angle, its supplement and its complement, please give me the formula and how you figured it out. thanks so much. \n" ); document.write( "
Algebra.Com's Answer #381262 by nerdybill(7384)\"\" \"About 
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the measure of the supplement of an angle is 40 less than 3 times its complement, find the measure of the angle, its supplement and its complement, please give me the formula and how you figured it out. thanks so much.
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\n" ); document.write( "Let x = the angle
\n" ); document.write( "then
\n" ); document.write( "90-x = the complement
\n" ); document.write( "180-x = the supplement
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\n" ); document.write( "From: \"the supplement of an angle is 40 less than 3 times its complement\" we get our equation:
\n" ); document.write( "180-x = 3(90-x) - 40
\n" ); document.write( "180-x = 270-3x - 40
\n" ); document.write( "180-x = 230-3x
\n" ); document.write( "180+2x = 230
\n" ); document.write( "2x = 50
\n" ); document.write( "x = 25 degrees (the angle)
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\n" ); document.write( "The complement:
\n" ); document.write( "90-x = 90-25 = 65 degrees
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\n" ); document.write( "The supplement:
\n" ); document.write( "180-x = 180-25 = 155 degrees\r
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