document.write( "Question 174299: One of two supplementary angles is 8 more than the other. Find the measure of the larger angle. \n" ); document.write( "

Algebra.Com's Answer #129231 by nycsub_teacher(90) $\"\"$ $\"About$

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One of two supplementary angles is 8 more than the other. Find the measure of the larger angle.\r
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\n" ); document.write( "\n" ); document.write( "Since the angles are supplementary, then they add up to 180.\r
\n" ); document.write( "\n" ); document.write( "Let x = smaller angle\r
\n" ); document.write( "\n" ); document.write( "Let x + 8 = larger angle\r
\n" ); document.write( "\n" ); document.write( "We now have this:\r
\n" ); document.write( "\n" ); document.write( "x + x + 8 = 180\r
\n" ); document.write( "\n" ); document.write( "2x + 8 = 180\r
\n" ); document.write( "\n" ); document.write( "2x = 180 - 8\r
\n" ); document.write( "\n" ); document.write( "2x = 172\r
\n" ); document.write( "\n" ); document.write( "x = 172/2\r
\n" ); document.write( "\n" ); document.write( "x = 86\r
\n" ); document.write( "\n" ); document.write( "The larger angle is x + 8 and I just x to be 86.\r
\n" ); document.write( "\n" ); document.write( "So, the larger angle is 86 + 8 = 94\r
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