document.write( "Question 277449: the measure of the angle's supplement is 30 degrees more than 4 times that of its complement. find the measure of the angle described \n" ); document.write( "
Algebra.Com's Answer #201987 by J2R2R(94)\"\" \"About 
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The measure of the angle's supplement is 30 degrees more than 4 times that of its complement. Find the measure of the angle described.\r
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\n" ); document.write( "\n" ); document.write( "Supplementary angles add up to 180 so if x is the angle its supplement is 180 - x.\r
\n" ); document.write( "\n" ); document.write( "Complementary angles add up to 90 so if x is the angle its complement is 90 - x.\r
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\n" ); document.write( "\n" ); document.write( "We are given that\r
\n" ); document.write( "\n" ); document.write( "4 times (90 - x) + 30 = 180 - x\r
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\n" ); document.write( "\n" ); document.write( "360 - 4x + 30 = 180 - x\r
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\n" ); document.write( "\n" ); document.write( "210 = 3x\r
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\n" ); document.write( "\n" ); document.write( "x = 70\r
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\n" ); document.write( "\n" ); document.write( "Compliment is 90 - 70 = 20\r
\n" ); document.write( "\n" ); document.write( "Supplement is 180 - 70 = 110\r
\n" ); document.write( "\n" ); document.write( "4 times 20 + 30 = 110
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