The value of x for the missing lengths in the given chords in the circle is; x = 4
How to Use the Intersecting Chord Theorem?
The intersecting chords theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle.
Thus, for two chords AC and BD intersecting in a point S the following equation holds: AS * SC = BS * SD
Thus, for this question;
8(x + 2) = 12x
8x + 16 = 12x
12x - 8x = 16
4x = 16
x = 16/4
x = 4
Read more about Intersecting Chord Theorem at; https://brainly.com/question/13950364
#SPJ1
