Find the value of x.

69
57
63
60

D.

Step-by-step explanation:

We have been given a diagram of circle and we are asked to find the value of x.

We can see from our diagram that it has a angle formed by a secant and tangent of the circle which measure 55 degrees.

Since the tangent-secant angle theorem states that the angle formed by a secant and tangent outside the circle is the half the difference of measures of its intercepted arcs (major arc-minor arc).

We can see that measure of Tangent-Secant angle is 55 degrees. Major arc intercepting to the angle has a measure of 170 degrees and minor arc measures x degrees.

Using our given information we can set an equation as:

Now let us solve for x by multiplying both sides of our equation by 2.

Now let us subtract 170 degrees from both sides of our equation.

Therefore, value of x is 60 degrees and option D is the correct choice.

it is 10.6 according to my calculations