Answer :

If two tangent segments are traced to one circle from the same exterior point, they are congruent. The value of x is 16. Thus, the correct option is B.

What is the two-tangent theorem?

According to the Two-Tangent Theorem, if two tangent segments are traced to one circle from the same exterior point, they are congruent.

As per the two-tangent theorem, the measure of AB and AD will be equal, therefore, we can write,

AB  = AD

2x + 7 = 3x - 9

16 = x

Hence, the value of x is 16. Thus, the correct option is B.

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