document.write( "Question 155817: The 2nd angle of a triangle is 6 times the 1st angle.If the 3rd angle is 45 degrees more than twice the 1st angle, find the measure of each? \n" ); document.write( "
Algebra.Com's Answer #114776 by HyperBrain(694)![]() ![]() ![]() You can put this solution on YOUR website! let x=the 1st angle\r \n" ); document.write( "\n" ); document.write( "then, \n" ); document.write( "the 2nd angle is 6x \n" ); document.write( "the 3rd angle is x+45\r \n" ); document.write( "\n" ); document.write( "But, the sum of angles in a triangle is 180 degrees.\r \n" ); document.write( "\n" ); document.write( "So,\r \n" ); document.write( "\n" ); document.write( "x+(6x)+(2x+45)=180 \n" ); document.write( "x+6x+2x+45=180 \n" ); document.write( "(6+1+2)x+45=180 \n" ); document.write( "9x+45=180 \n" ); document.write( "9x+45-45=180-45 \n" ); document.write( "9x+0=135 \n" ); document.write( "9x=135 \n" ); document.write( "x=15------the first angle \n" ); document.write( "6x=6*15=90----------the 2nd angle \n" ); document.write( "2x+45=2*15+45=30+45=75---------the 3rd angle\r \n" ); document.write( "\n" ); document.write( "you may check by adding the angles (it MUST be 180 to be correct)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Power up, \n" ); document.write( "HyperBrain! \n" ); document.write( " |