document.write( "Question 846767: if the measures of the angles of a triangle are 2x+15 degrees, 8x +15 degrees and x + 15 degrees. solve for the value of x and the value of all three angles. \n" ); document.write( "
Algebra.Com's Answer #509930 by pmesler(52)\"\" \"About 
You can put this solution on YOUR website!
Remember that the sum of all the angles of a triangle will always equal 180 degrees. \r
\n" ); document.write( "\n" ); document.write( "That means you just add all the values for the angles and equal the sum to 180 and solve for x.\r
\n" ); document.write( "\n" ); document.write( "(2x+15) + (8x+15) + (x+15) = 180\r
\n" ); document.write( "\n" ); document.write( "Simplify by combining like terms.\r
\n" ); document.write( "\n" ); document.write( "11x + 45 = 180 \r
\n" ); document.write( "\n" ); document.write( "Subtract each side by 45\r
\n" ); document.write( "\n" ); document.write( "11x = 135\r
\n" ); document.write( "\n" ); document.write( "x = 12.27, or if we round up 12.3. That means that the first angle 2x+15 = 39.6, the second angle, 8x+15 = 113.4, and the last angle x+15 = 27.3\r
\n" ); document.write( "\n" ); document.write( "39.6 + 113.4 + 27.3 = 180.3 or 180 degrees. \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );