document.write( "Question 262287: if two base angles of an isoceles triangle are equal in measure and the third angle is five times the measure of a base angle minus 9 degrees, what are the measures of each angle. \n" ); document.write( "
Algebra.Com's Answer #193299 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! if two base angles of an isoceles triangle are equal in measure and the third angle is five times the measure of a base angle minus 9 degrees, what are the measures of each angle. \n" ); document.write( ": \n" ); document.write( "Let x = measure of each of the two base angles \n" ); document.write( ": \n" ); document.write( "It says,\"the third angle is five times the measure of a base angle minus 9 degrees,\", therefore \n" ); document.write( "(5x - 9) = the 3rd angle \n" ); document.write( ": \n" ); document.write( "The three angles = 180 \n" ); document.write( "x + x + (5x - 9) = 180 \n" ); document.write( "2x + 5x = 180 + 9 \n" ); document.write( "7x = 189 \n" ); document.write( "x = \n" ); document.write( "x = 27 degrees, the two base angles \n" ); document.write( "and \n" ); document.write( "5(27) - 9 = 126 degrees, the third angle \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check: 27 + 27 + 126 = 180 \n" ); document.write( " |