Answer:
C.) 14
Step-by-step explanation:
Look at the triangle: angles b and c have the same arch, so they are congruent.
In a triangle, if two angles are congruent, then the triangle is isosceles, having two equal sides.
The sides opposite the congruent angles are congruent:
∠B → opposite side → AC
∠C → opposite side → AB
The sides AB and AC are equal. Make an equation:

Simplify the equation, solving for x. Add 7 to both sides:

Subtract 2x from both sides:

The value of x is 7. Insert the value of x into the given length of AC:

Simplify multiplication:

Subtract:

Therefore, the length of the line segment AC is 14.
:Done