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A. The value of x in the given circular geometry is determined as 9.75.
The value of x can be calculated by applying the following rules of geometry as shown below.
angle AC = angle at the center
angle at center = twice angle at circumference
147 = 2(6x + 15)
147 = 12x + 30
147 - 30 = 12x
117 = 12x
x = 117/12
x = 9.75
Thus, the value of x in the given circular geometry is determined as 9.75.
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