document.write( "Question 54924: One angle of a triangle has a measure of 70 degrees. The other two angles have degree measures in a ratio of 5 to 6. What is the sum of the measures, in degrees, of the two largest angles?\r
\n" ); document.write( "\n" ); document.write( "I first tried 50 +60=110+70=180. Then I realized that 180 is the sum of all of the angles in a triangle, so it couldn't be right. Thanks if you can help!
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Algebra.Com's Answer #37142 by Earlsdon(6294)\"\" \"About 
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\n" ); document.write( "The sum of the three angles is 180, so the sum of the two unknown angles is 180-70 = 110 degrees.\r
\n" ); document.write( "\n" ); document.write( "Call these angles a and b, so a+b = 110 and a/b = 5/6, so you can solve for a and b.\r
\n" ); document.write( "\n" ); document.write( "\"a%2Bb+=+110\" and:
\n" ); document.write( "\"a%2Fb+=+5%2F6\" Solve this for a:
\n" ); document.write( "\"a+=+5b%2F6\" and substitute for a in the first equation.
\n" ); document.write( "\"%285b%2F6%29%2Bb+=+110\" Simplify by multiplying through by 6.
\n" ); document.write( "\"5b%2B6b+=+660\"
\n" ); document.write( "\"11b+=+660\"
\n" ); document.write( "\"b+=+60\" and \"a+=+110-60\" = 50\r
\n" ); document.write( "\n" ); document.write( "The sum of the two largest angles is:
\n" ); document.write( "70 + 60 = 130 degrees.
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