The missing lengths and angles of the parallelogram are:
x = 2
∠EDA = 38°
∠EAD = 31°
How to find the lengths and angles of the Parallelogram?
We know that the diagonals of a parallelogram bisect each other. Thus:
5x + 2 = 12
5x = 12 - 2
5x = 10
x = 2
Similarly, we know that the opposite sides of a parallelogram are parallel. Thus:
∠EDA ≅ ∠EBC = 38°
Similarly:
∠ECB ≅ ≅ EAD = 31°