document.write( "Question 1203138: One angle in a triangle has a measure that is three times as large as the smallest angle. The measure
\n" ); document.write( "of the third angle is 40 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #838454 by ikleyn(52943) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "One angle in a triangle has a measure that is three times as large as the smallest angle. The measure
\n" ); document.write( "of the third angle is 40 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.
\n" ); document.write( "~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Let the smallest angle be x degrees.\r\n" );
document.write( "\r\n" );
document.write( "Then so called \"one angle\" has the measure of 3x degrees,\r\n" );
document.write( "while the third angle is (x+40) degrees.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "We write the basic equation\r\n" );
document.write( "\r\n" );
document.write( "    x + 3x + (x+40) = 180 degrees.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From this equation,  \r\n" );
document.write( "\r\n" );
document.write( "        5x = 180 - 40\r\n" );
document.write( "\r\n" );
document.write( "        5x =    140,\r\n" );
document.write( "\r\n" );
document.write( "         x =    140/5 = 28 degrees.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, the smallest angle is 28 degrees\r\n" );
document.write( "    the angle called \"one angle\" is 3*28 = 84 degrees\r\n" );
document.write( "    and the third angle is 28+40 = 68 degrees.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Thus the largest angle is 84 degrees.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The largest angle is 84 degrees.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Ignore the solution/(the answer) by @josgarithmetic, giving you 68 degrees
\n" ); document.write( "as the measure of the greatest angle, since it is incorrect.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );