document.write( "Question 65977: The measure of one angle of a trianlge is five times that of a second angle, and the measure of an exterior angle at the third vertex is 120 degrees. What is the measure of each angle of the triangle? \n" ); document.write( "
Algebra.Com's Answer #46726 by uma(370)![]() ![]() ![]() You can put this solution on YOUR website! Let the second angle of the triangle be x deg.\r \n" ); document.write( "\n" ); document.write( "so the first angle measures = 5x deg.\r \n" ); document.write( "\n" ); document.write( "measure of the exterior angle at the third vertex = 120 deg\r \n" ); document.write( "\n" ); document.write( "The exterior angle = sum of interior opposite angles.\r \n" ); document.write( "\n" ); document.write( "==> 120 = x + 5x \n" ); document.write( "==> 120 = 6x \n" ); document.write( "==> 120/6 = 6x/6 \n" ); document.write( "==> 20 = x\r \n" ); document.write( "\n" ); document.write( "Therefore the angles of the triangle are 20 deg, 100 deg and 60 deg[as the sum is always = 180 deg]\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Good Luck!!! \n" ); document.write( " |