The intersecting chord theorem states that if two chords intersect in a circle , then the products of the measures of the segments of the chords are equal.
[tex]\begin{gathered} \text{In the given that is} \\ 3\cdot x=5\cdot15 \end{gathered}[/tex]
Solve for x algebraically
[tex]\begin{gathered} 3x=75 \\ \\ \text{Divide both sides by }3 \\ \frac{3x}{3}=\frac{75}{3} \\ x=25 \end{gathered}[/tex]
