Find the measure of the indicated arc or angle.

Answer:
x=187
Step-by-step explanation:
Use the exterior two secant intersecting theorem,
The Outside Angles Theorem states that the measure of an angle formed by two secants, two tangents, or a secant and a tangent from a point outside the circle is half the difference of the measures of the intercepted arcs.
In other words,
[tex] \frac{x - 97}{2} = 45[/tex]
[tex]x - 97 = 90[/tex]
[tex]x = 187[/tex]