First let us define the theorem that would help us solve the problem
The two tangent theorem states that if we draw two lines from the same point which lies outside a circle, such that both lines are tangent to the circle, then their lengths are the same.
Next, applying the theorem:
[tex]4x\text{ - 9 = 15}[/tex]
Solving for x:
[tex]\begin{gathered} Collect\text{ like terms} \\ 4x\text{ = 15 + 9} \\ 4x\text{ = 24} \\ Divide\text{ both sides by 4} \\ \frac{4x}{4}\text{ = }\frac{24}{4} \\ x\text{ = 6} \end{gathered}[/tex]
Answer:
x = 6
