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

Question

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

jessiegonzales · Answer

attachment

directrix · Answer

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.

directrix · Answer

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.