document.write( "Question 1166488: In a triangle, the sum of the measures of the first and the second angles is twice of the measure of the third angle. If the measure of the second angle is 10° less than the measure of the third angle, then find the measures of the three angles. \n" ); document.write( "

Algebra.Com's Answer #791005 by josgarithmetic(39630) $\"\"$ $\"About$

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document.write( "first            x\r\n" );
document.write( "second          t-10\r\n" );
document.write( "third            t\r\n" );
document.write( "SUM             180\r\n" );
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\r
\n" ); document.write( "\n" ); document.write( " $\"x=10%2B2t-t\"$
\n" ); document.write( " $\"x=10%2Bt\"$
\n" ); document.write( "Using this for x, sum of measures of interior angles:
\n" ); document.write( " $\"%28t%2B10%29%2B%28t-10%29%2Bt=180\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"3t=180\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"t=60\"$ \r
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document.write( "---------------------------------------------\r\n" );
document.write( "The measures of the three angles:\r\n" );
document.write( "first        70\r\n" );
document.write( "second       50\r\n" );
document.write( "third        60\r\n" );
document.write( "--------------------------------------------\r\n" );
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