Answer:
∠BCA = 59
x = 2
∠B = 83
Step-by-step explanation:
Properties of a parallelogram:
Opposite angles are congruent
Opposite side lengths are congruent
That being said lets find x, ∠B and ∠BCA
First x
Segment AD and segment CD are parallels which are congruent
Knowing that we create an equation
6x = 12
step 1: Divide each side by 6
6x/6=x
12/6=2
we're left with x = 2
For ∠B
∠D and ∠B are opposite angles of a parallelogram
meaning that ∠D≅∠B
So if ∠D=83 then ∠B also = 83
For ∠BCA
∠BCA and ∠DAC happen to be opposite angles ( like stated previously opposite angles are congruent.)
Because ∠DAC = 59 ∠BCA also = 59
