Answer:
○ AB = 10; BC = 28
Step-by-step explanation:
In each parallelogram opposite sides have the same length.
Therefore we have the equations:
2x - 4 = x + 12 and 3y - 2 = y + 6
2x - 4 = x + 12 add 4 to both sides
2x = x + 16 subtract x from both sides
x = 16
3y - 2 = y + 6 add 2 to both sides
3y = y + 8 subtract y from both sides
2y = 8 divide both sides by 2
y = 4
AB = 3y - 2 → AB = 3(4) - 2 = 12 - 2 = 10
BC = x + 12 → BC = 16 + 12 = 28
