Answer:
86 degrees
Explanation:
The angle 94 degrees is formed by two intercepted tangent lines.
The angle formed outside is always half the difference of the intercepted arcs.
Therefore:
[tex]94\degree=\frac{1}{2}((360-x)-x)_{}[/tex]
Next, solve for x:
[tex]\begin{gathered} 94\degree\times2=360\degree-2x \\ 188\degree=360\degree-2x \\ 2x=360\degree-188\degree \\ 2x=172\degree \\ x=\frac{172\degree}{2} \\ x=86\degree \end{gathered}[/tex]
The value of x is 86 degrees.
