Solve for "x" ; then solve for: "m</span>∠ACD" ; _______________________________________________________ Add "14" to each side of the equation; and subtract "4x" from each side of the equation ;
4x + 4 + 14 - 4x = 6x - 14 + 14 - 4x ;
to get:
18 = 2x ;
↔ 2x = 18 ;
Divide each side of the equation by "2" ; to isolate "x" on one side of the equation; & to solve for "x" ; __________________________________________________________ 2x / 2 = 18/2 ;
x = 9 . _________________________________________________________ Now, to solve for: " m<span>∠ACD " : </span>_________________________________________________________ m∠ACD = <span>(4x + 4)° ;
Substitute "9" for "x" ; </span> m∠ACD = (4*9) + 4 = 36 + 4 = 40° . _____________________________________________ Answer: " m∠ACD = 40° " . _____________________________________________ Let us check our answer: _____________________________________________ m∠ACD = 40 ; and m<span>∠ABD = (6x - 14) ;
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