Answer:

Step-by-step explanation:
Please find the attachment.
We have been given that point C is the center of the circle. Arc AB measures  . Angle ACB measures
. Angle ACB measures  . We are asked to find the value of x.
. We are asked to find the value of x.
Since point C is the center of circle, so angle ACB will be a central angle. We know that the measure of a central angle is equal to the measure of subtended arc. 
We can set an equation as:








Therefore, the value of x is 6.