Answer:
C.
Step-by-step explanation:
We have been given an image of a circle. We are asked to find the measure of arc AC.
We will use tangent-secant theorem, which states that the angle formed by a tangent to a circle and a chord is equal to half the angle measure of the intercepted arc.
Using above theorem we can set an equation to find measure of arc AC as:
![m\angle BAC=\frac{1}{2}\times \text{ Measure of arc AC}](https://tex.z-dn.net/?f=m%5Cangle%20BAC%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5Ctext%7B%20Measure%20of%20arc%20AC%7D)
Multiplying both sides of our equation by 2, we will get,
Therefore, the measure of arc AC is 56 degrees and option C is the correct choice.