Answer:
The First question's answer is AngleW = 77 degrees
The Second question's answe is x = 2
Explanation:
First Question:
AngleW = 7x
AngleY = 6x + 11
Since Opposite Angles in a parallelogram are equal,
AngleW = AngleY
or
7x = 6x + 11
7x - 6x = 11
x = 11
Now that we know the value of x, we can find the value of angleW
AngleW = 7x
AngleW = 7(11)
Angle W = 77
Second Question:
LN = 20
UN = 5x
Since LN and KM are diagonals of the parallelogram, they bisect each other at point of contact, so, UN = 1/2LN
or
5x=1/2 × 20
5x = 10
x = 2