document.write( "Question 514270: the measure of a 3 angles of the triangle are in the ratio 2:3:4.find the measure of its angle \n" ); document.write( "

Algebra.Com's Answer #343360 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "This could be called a lesson on\r\n" );
document.write( "COMPARING PARTS TO THE TOTAL IN A PROPORTION:\r\n" );
document.write( "\r\n" );
document.write( " 2:3:4\r\n" );
document.write( "\r\n" );
document.write( "Those three numbers in that proportion add up to 9.\r\n" );
document.write( "The three angles of the triangle we want add up to 180²,\r\n" );
document.write( "\r\n" );
document.write( "Notice this: \r\n" );
document.write( "\r\n" );
document.write( "2 is ths of the total of 9.\r\n" );
document.write( "\r\n" );
document.write( "3 is ths of the total of 9.\r\n" );
document.write( "\r\n" );
document.write( "4 is ths of the total of 9.\r\n" );
document.write( "\r\n" );
document.write( "Similarly, since the angles of a triangle add up to 180°,\r\n" );
document.write( "\r\n" );
document.write( "we want to know:\r\n" );
document.write( "\r\n" );
document.write( "1. WHAT is ths of the total of 180°?\r\n" );
document.write( "\r\n" );
document.write( "2. WHAT is ths (or ) of that total of 180°?\r\n" );
document.write( "\r\n" );
document.write( "3. WHAT is ths of the total of 180°?\r\n" );
document.write( "\r\n" );
document.write( "The answer to the first one,\r\n" );
document.write( "\r\n" );
document.write( "\"WHAT is ths of the total of 180°?\"\r\n" );
document.write( "\r\n" );
document.write( "is found simply by multiplying by that fraction\r\n" );
document.write( "\r\n" );
document.write( "·180° = 40°. So that's one of the angles.\r\n" );
document.write( "\r\n" );
document.write( "The other two angles are found the same way.  You'll \r\n" );
document.write( "get 60° and 80° for them.  It checks because they\r\n" );
document.write( "add up to 180°.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );