document.write( "Question 713727: One of two complementary angles is 6 degrees smaller than twice the other angle. Find the measure of each angle.\r
\n" ); document.write( "\n" ); document.write( "I have tried:\r
\n" ); document.write( "\n" ); document.write( "2x-6=180 -> add 6 to both sides
\n" ); document.write( "2x=186 -> divide both sides by 2
\n" ); document.write( "x = 93\r
\n" ); document.write( "\n" ); document.write( "And:\r
\n" ); document.write( "\n" ); document.write( "90-2x-6=180 -> add like terms
\n" ); document.write( "84-2x=180 -> subtract 84 from both sides
\n" ); document.write( "-2x=106 -> divide both sides by -2
\n" ); document.write( "x=93\r
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\n" ); document.write( "\n" ); document.write( "According to the back of my book the answers should be 32 and 58 but I can't seem to get there and it doesn't show how to do it.
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Algebra.Com's Answer #438675 by htmentor(1343)\"\" \"About 
You can put this solution on YOUR website!
Let the two angles be A and B.
\n" ); document.write( "A = 2B - 6 [6 degrees smaller than twice the other angle]
\n" ); document.write( "Since the two angles are complementary, A + B = 90 -> A = 90 - B
\n" ); document.write( "Solve for B:
\n" ); document.write( "90 - B = 2B - 6
\n" ); document.write( "3B = 96
\n" ); document.write( "B = 32
\n" ); document.write( "Therefore A = 90 - 32 = 58
\n" ); document.write( "Ans: 32, 58
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