document.write( "Question 418421: twice the supplement of an angle is 76 degrees more than four times its compliment \n" ); document.write( "

Algebra.Com's Answer #292839 by algebrahouse.com(1659) $\"\"$ $\"About$

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\"twice the supplement of an angle is 76 degrees more than four times its compliment\"\r
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\n" ); document.write( "\n" ); document.write( "x = angle\r
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\n" ); document.write( "\n" ); document.write( "Complementary angles add up to 90
\n" ); document.write( "Supplementary angles add up to 180\r
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\n" ); document.write( "\n" ); document.write( "Complement of angle = 90 - x
\n" ); document.write( "Supplement of angle = 180 - x\r
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\n" ); document.write( "\n" ); document.write( "2(180 - x) = 4(90 - x) + 76 {twice supplement is 76 more than 4 times complement}
\n" ); document.write( "360 - 2x = 360 - 4x + 76 {used distributive property}
\n" ); document.write( "360 - 2x = -4x + 436 {combined like terms}
\n" ); document.write( "-2x = -4x + 76 {subtracted 360 from both sides}
\n" ); document.write( "2x = 76 {added 4x to both sides}
\n" ); document.write( "x = 38 {divided both sides by 2}\r
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\n" ); document.write( "\n" ); document.write( "the angle is 38
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