Im not sure if the answer is actually c

D. 21

Step-by-step explanation:

Given:

m arc AC = 69

Segment AB is tangent to circle O at point A.

We need to find the ∠ ABC

Solution:

Now we can say that;

By inscribed angle theorem which states that;

"Central angle is equal to arc subtended by it."

m∠O = 69 (Central angle)

Also Given:

Segment AB is tangent to circle O at point A.

Now by radius tangent property which states that;

"Radius which touches to closet point on the tangent is always perpendicular."

so we can say that;

m∠OAB = 90

Now in Δ OAB.

m∠O = 69

m∠OAB = 90

Now we know that;

"Sum of all angles of triangle is 180."

m∠O + m∠OAB + m∠ABO = 180

Substituting the values we get;

Subtracting both side by 159 we get;

Now we can say that;

m∠ABO = m∠ ABC = 21 (same angles)

Hence  m∠ ABC is 21.

d≈7.07in

step-by-step explanation:

the first option is the answer.