Figure ABCD is a parallelogram.
What are the lengths of line segments AB and BC?

O AB = 4; BC = 16
O AB = 4; BC = 8
O AB = 10; BC = 20
O AB = 10; BC = 28

AB = 10 units, and BC = 28 units

Step-by-step explanation:

Segments AB and DC are equal to each other, so we can set both equations equivalent to each other on opposite sides of an equation.

3y - 2 = y + 6

3y = y + 8

2y = 8

y = 4

Now we can plug in our y variable (4) into one of the segments equations; either AB's or DC's.

3y - 2

3(4) - 2

12 - 2

10

Segments AB and DC = 10

We can do the same thing with segments AD and BC.

2x - 4 = x + 12

2x = x +16

x = 16

Now we can plug in out x variable (16) into one of the segments equations; either AD's or BC's.

2x - 4

2(16) - 4

32 - 4

28

Thus, both segments AD and BC are 28 units long.

Our answer would be AB = 10 units, and BC = 28 units.

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