Answer:
BC=3 units
Step-by-step explanation:
Parallelograms
We are told that quadrilateral ABCD is a parallelogram because both pairs of opposite sides are congruent. This means AB=CD. We also know
[tex]AB = x + 20[/tex]
[tex]DC = 5x[/tex]
[tex]AD = x - 2[/tex]
Using the condition AB=CD
[tex]x + 20=5x[/tex]
[tex]4x=20[/tex]
[tex]x=5[/tex]
Knowing the value of x, we can say
[tex]AD = x - 2=3[/tex]
BC must be equal to AD
[tex]BC=3\ units[/tex]
We can see AB=5+20=25, and that DC=5(5)=25. All pairs of opposite sides are congruent
