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​

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 + 62x - 4 = x + 12         add 4 to both sides2x = x + 16         subtract x from both sidesx = 163y - 2 = y + 6            add 2 to both sides3y = y + 8           subtract y from both sides2y = 8            divide both sides by 2y = 4AB = 3y - 2 → AB = 3(4) - 2 = 12 - 2 = 10BC = x + 12 → BC = 16 + 12 = 28