Final answer:
To find the value of x, use the fact that the sum of angles in a triangle is 180 degrees. Solve for x by setting up an equation and solving for x.
Step-by-step explanation:
To find the value of x, we can use the fact that the sum of the angles in a triangle is 180 degrees. So, we have:
83 degrees + 127 degrees + (9x - 10) degrees = 180 degrees
210 degrees + (9x - 10) degrees = 180 degrees
9x -10 degrees = -30 degrees
9x = -20 degrees
x = -20 degrees / 9
x ≈ -2.22 degrees
The value of x is approximately -2.22 degrees.