document.write( "Question 56951This question is from textbook Introductory Algebra for College Students
\n" ); document.write( ": In a triangle, the measures of two angles are in the ratio 5:2 and their difference is 15 degrees. Find the number of degrees in the largest angle of the triangle. \n" ); document.write( "
Algebra.Com's Answer #38701 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
>In a triangle, the measures of two angles are in the ratio\r\n" );
document.write( "5:2 and their difference is 15 degrees.  Find the number \r\n" );
document.write( "of degrees in the largest angle of the triangle.\r\n" );
document.write( "\r\n" );
document.write( "     Let the larger angle be x°.\r\n" );
document.write( "\r\n" );
document.write( ">>...their difference is 15 degrees...<<\r\n" );
document.write( "\r\n" );
document.write( "     Therefore, the smaller angle = (x-15)°\r\n" );
document.write( "\r\n" );
document.write( ">>...the measures of two angles are in the ratio 5:2...<<\r\n" );
document.write( "\r\n" );
document.write( "     Therefore,\r\n" );
document.write( "\r\n" );
document.write( "           x° IS TO (x-15)° AS 5 IS TO 2\r\n" );
document.write( "\r\n" );
document.write( "Replace \"IS TO\" by \"/\" and \"AS\" by \"=\" \r\n" );
document.write( "\r\n" );
document.write( "     x°/(x-15)° = 5/2\r\n" );
document.write( "\r\n" );
document.write( "which might be easier to see if written\r\n" );
document.write( "\r\n" );
document.write( "        x         5\r\n" );
document.write( "    --------- = -----\r\n" );
document.write( "     x - 15       2\r\n" );
document.write( "\r\n" );
document.write( "Can you solve that? If not post again.\r\n" );
document.write( "\r\n" );
document.write( "Answer: x = 25°, so the smaller \r\n" );
document.write( "angle = x-15° or 10°.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );