Question

MEDAL
3. In the figure, what is the value of x?
A.45
B.60
C.75
D.90

Answer 1

Although it is not stated, it appears that the angle outside the circle is formed by two tangents drawn to a circle from an outside point. The theorem and subsequent formula for finding x is given in the attachment.

Answer 2

Looking at your diagram, the near arc has measure x degrees.
The far arc of the circle will have measure (360 - x) degrees knowing that the measure of the circle is 360 degrees.

Following the formula,
x = (1/2)* ( (360 - x) - x )
x = (1/2)* (360 - 2x) -----> Solve for x. @jessiegonzales

Post what you get and we can compare answers.