Question

9) Solve for angle N. Use information from question 8.M(8x - 16)N(6x + 20)Po

Answer 1

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°