document.write( "Question 165766: Given:angle ABD is congruent to angle EFH, and angle CBD is the supplement of angle ABD, and angle GFH is the supplement of angle EFH, then prove that angle CBD is congruent to angle GFH. use a statement reason chart please help thank you. \n" ); document.write( "
Algebra.Com's Answer #122195 by Mathtut(3670)![]() ![]() ![]() You can put this solution on YOUR website! I am using the (=) sign to represent congruent. \n" ); document.write( "statement:..................................Reason \n" ); document.write( "ABD (=) EFH.............................. Given \n" ); document.write( "CBD + ABD =90............................ Given \n" ); document.write( "GFH + EFH =90............................ Given \n" ); document.write( "GFH + ABD =90....................... substitute ABD for EFH since ABD (=) EGH \n" ); document.write( "GFH + ABD = CBD + ABD............... since both are equal to 90 they are also \n" ); document.write( "...................................... equal to each other. \n" ); document.write( "GFH = CBD............................. subtracting out equal angles \n" ); document.write( "GFH (=) CBD........................... conclusion \n" ); document.write( " |