Answer:
128°
Step-by-step explanation:
The figure is an isoceles trapezoid. Because MN is parallel to PO and MP and ON have the same length.
So, angle P is equal to angle O and angle M is equal to angle N.
It means that we can write the following equation:
∠M = ∠N
8x - 16 = 6x + 20
Now, solving for x, we get:
8x - 16 = 6x + 20
8x - 16 - 6x = 6x + 20 - 6x
2x - 16 = 20
2x - 16 + 16 = 20 + 16
2x = 36
2x/2 = 36/2
x = 18
Then, replacing x by 18, we get:
N = 6x + 20
N = 6(18) + 20
N = 128
Therefore, the value of angle N is 128°