What is the value of X?

Answer:
58
Step-by-step explanation:
The measure of an angle (51°) formed by a secant and a tangent from a point outside the circle is 1/2 the difference of the measures of the intercepted arcs (x° and 160°).
[tex]51=\frac{160-x}{2}[/tex]
[tex]102=160-x[/tex]
[tex]x=160-102[/tex]
[tex]x=58[/tex]