document.write( "Question 488922:
Algebra.Com's Answer #334139 by cleomenius(959)![]() ![]() You can put this solution on YOUR website! Angle ACB = 180 degrees. \n" ); document.write( "Angle ACD + angle DCE + angle ECF + angle FCB = 180 degrees = angle ACB \n" ); document.write( "Angle ACD = 2x + 4 \n" ); document.write( "Angle DCE = x \n" ); document.write( "Angle ECF = 2x \n" ); document.write( "Angle FCB = 6x \n" ); document.write( "2x + 4 + x + 2x + 6x = 180 \n" ); document.write( "11x = 176 \n" ); document.write( "x = 11 \n" ); document.write( "Angle ACD = 2(16) + 4 = 36 degrees \n" ); document.write( "Angle DCE = 16 degrees \n" ); document.write( "Angle ECF = 2(16) = 32 degrees \n" ); document.write( "Angle FCB = 6(16) = 96 degrees \n" ); document.write( "36 + 16 + 32 + 96 + 180 degrees. This does check. \n" ); document.write( "Cleomenius.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |