document.write( "Question 972208: In a hexagon ABCDEF, angle A and angle B are right angles. If angle C is congruent to angles D,E,F, what is the measure of angle F in degrees? \n" ); document.write( "
Algebra.Com's Answer #594570 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Given: \n" ); document.write( "A = 90 \n" ); document.write( "B = 90 \n" ); document.write( "C = D = E = F\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "S = 180(n-2) \n" ); document.write( "S = 180(6-2) ... replace n with 6 \n" ); document.write( "S = 180*4 \n" ); document.write( "S = 720\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "All 6 angles add up to 720 degrees\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let x be the measure of angles C,D,E,F. The goal is to solve for x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A+B+C+D+E+F = 720 \n" ); document.write( "90+90+x+x+x+x = 720 \n" ); document.write( "180+4x = 720 \n" ); document.write( "4x = 720-180 \n" ); document.write( "4x = 540 \n" ); document.write( "x = 540/4 \n" ); document.write( "x = 135\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the measure of angle F is 135 degrees. \n" ); document.write( " |