Question

What is the value of n interior answer in the Box

Answer 1

We know that

The Intersecting Chord Theorem, established that "When two chords intersect each other inside a circle, the products of their segments are equal."
so
(n+2)*16=(n+8)*8
16n+32=8n+64
16n-8n=64-32
8n=32
n=32/8
n=4

the answer is 
n=4