AB and AD are tangent to circle C. Find the length of AB.
A. 39
B. 16
C. 3
D. 13

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.
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.
Learn more about the Two-tangent theorem:
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