Answer:
x = 18, y = 5, AB = 23, BC = 8
Step-by-step explanation:
The opposite sides of a parallelogram are equal, so
DC = AB , that is
2x - 13 = x + 5 ( subtract x from both sides )
x - 13 = 5 ( add 13 to both sides )
x = 18
and
BC = AD , that is
4y - 12 = 2y - 2 ( subtract 2y from both sides )
2y - 12 = - 2 ( add 12 to both sides )
2y = 10 ( divide both sides by 2 )
y = 5
Then
AB = x + 5 = 18 + 5 = 23
BC = 4y - 12 = 4(5) - 12 = 20 - 12 = 8
