Answer:
The answer is B
Step-by-step explanation:
1st we need to find the measure of the x. Since one of the arc measure 95 degrees, another minor arc measure 72. There is 360 degress in a circle so using arc addition,The rest of a circle that is remaining (x) can be determined by this formula
[tex]95 + 72 + x = 360[/tex]
[tex]167 + x = 360[/tex]
[tex]x = 193[/tex]
Since there is a point that stops at a circle circumference, there is a tangent. There is also a secant in the circle.
Now we can use this theorem,
The measure of an angle formed by two secants, two tangents, or a secant and a tangent drawn from a point outside the circle is equal to half the difference of the measures of the intercepted arcs.
In other words
[tex] \frac{193 - 72}{2} = y[/tex]
[tex] \frac{121}{2} = 60.5[/tex]
[tex]y = 60.5[/tex]
