Answer:
x=2
Step-by-step explanation:
The angle formed by two tangents intersecting outside of a circle is half the difference of the intercepted arcs.
This implies that:
[tex]55=\frac{1}{2}(116x+3-(180-55))[/tex]
We need to simplify this ad solve for x to get:
[tex]110=(116x+3-125)[/tex]
Group the similar terms to get:
[tex]110-3+125=116x[/tex]
232=116x
Divide by 116 to get:
x=2
