document.write( "Question 72576: The measures of the angles of a triangle are 3x, 2x-10, and x+40 degrees. Find the number of degrees in the difference between the measures of largest and smallest angles.\r
\n" ); document.write( "\n" ); document.write( "I tried:
\n" ); document.write( "2x-10=0
\n" ); document.write( "2x=10
\n" ); document.write( "x=10/2
\n" ); document.write( "x=5\r
\n" ); document.write( "\n" ); document.write( "And after that I replaced x by 5. My answer is 3*5=15, (2*5)-10=0, and 5+40=45.
\n" ); document.write( "Then, the difference between 45 an 0 is 45°
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #51887 by checkley75(3666)\"\" \"About 
You can put this solution on YOUR website!
The sum of the 3 angles equal 180 thus:
\n" ); document.write( "3x+2x-10+x+40=180 no combine the x values and the numbers thus:
\n" ); document.write( "6x=180-40+10
\n" ); document.write( "6x=150
\n" ); document.write( "x=150/6
\n" ); document.write( "x=25 thus the angles are:
\n" ); document.write( "3*25=75
\n" ); document.write( "2*25-10=50-10=40
\n" ); document.write( "25+40=65
\n" ); document.write( "thus the smallest angle is 40
\n" ); document.write( "the largest is 75
\n" ); document.write( "so the difference is
\n" ); document.write( "75-40=35
\n" ); document.write( "proof
\n" ); document.write( "75+40+65=180
\n" ); document.write( "180=180
\n" ); document.write( "
\n" );