document.write( "Question 1124988: The sum of the measures of the three angles of a triangle is equal to 180 degrees. In a given triangle, the second angle measures 20 degrees more than the first and the third, 35 degrees more than the second. What is the measure of each of these angles? \n" ); document.write( "
Algebra.Com's Answer #741316 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Three angles A,B,C; write an equation for each statement
\n" ); document.write( ":
\n" ); document.write( "The sum of the measures of the three angles of a triangle is equal to 180 degrees.
\n" ); document.write( "A + B + C = 180
\n" ); document.write( " In a given triangle, the second angle measures 20 degrees more than the first
\n" ); document.write( "B = A + 20
\n" ); document.write( "or
\n" ); document.write( "A = B - 20
\n" ); document.write( " and the third, 35 degrees more than the second.
\n" ); document.write( "C = B + 35\r
\n" ); document.write( "\n" ); document.write( ":
\n" ); document.write( " What is the measure of each of these angles?
\n" ); document.write( "In the 1st equation, replace A with (B-20) and replace C with (B+35)
\n" ); document.write( "(B-20) + B + (B+35) = 180
\n" ); document.write( "combine like terms
\n" ); document.write( "B + B + B - 20 + 35 = 180
\n" ); document.write( "3B + 15 = 180
\n" ); document.write( "3B = 180 - 15
\n" ); document.write( "3B = 165
\n" ); document.write( "B = 165/3
\n" ); document.write( "B = 55 degrees
\n" ); document.write( ":
\n" ); document.write( "I'll let you find A & C using the equations we have for each statement
\n" ); document.write( "Ensure that the 3 angles do indeed, add up to 180\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );