Figure ABCD is a parallelogram. What are the lengths of line segments AB and BC? AB = 4 BC = 16
AB = 4: BC = 8
AB = 10; BC = 20
AB = 10; BC = 28​

AB = 10; BC = 28.

Step-by-step explanation:

It is given ABCD is a parallelogram. In a parallelogram opposite sides are equal.

AB=DC and  AD=BC.

Substituting the given values in terms of x ad y we have:

3y-2=y+6    and 2x-4=x+12

Solving for x and y ,

3y-y=6+2  and  2x-x=12+4

2y=8 and  x=16.

y=4 and x=16.

AB=3y-2  and  BC=x+12

AB=3(4)-2  and BC= 16+12=28.

AB=10.

The correct answer is AB = 10; BC = 28.

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step-by-step explanation: