Answer:
x = 7
Step-by-step explanation:
The angle adjacent to the 70 degree angle is also 70 degrees. We assume that there are four 90-degree angles in the center of the figure. Thus, 8x - 36 + 70 + 90 = 180 (the sum of the interior angles is 180 degrees).
Solving 8x - 36 + 70 + 90 = 180 for x:
8x - 36 = 20, or 8x = 56.
Dividing both sides by 8 yields x = 7.
