Let's first find the sum of the interior angles in this polygon. We can use the equation (n - 2) x 180.
There are 8 sides on this polygon, so (8 - 2) x 180 = 1080 degrees.
Now that we know the sum of the interior angles, we can find the value of z by adding up all of the given values for the interior angles and setting the sum equal to 1080.
(134) + (2z - 15) + (2z + 1) + (2z) + (z + 44) + (2z) + (147) + (2z - 12) = 1080
299 + 11z = 1080
11z = 781
z = 71 degrees
Hope this helps! :)
