What is measure of arc ac if the m ∠bac = 28°?
28 degrees
14 degrees
56 degrees
152 degrees

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:

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.