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Based on the intersecting secants theorem, the value of x is: B. 30.9°
The intersecting secants theorem states that when two secants intersect, the measure of the angle they form is half the difference of the intercepted arcs.
Thus, based on the intersecting secants theorem, we would have the following:
x = 1/2(138 - 76.2)
x = 1/2(61.8)
x = 30.9°
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