Triangle ABC is shown below. What is the length of line segment AC?
A) 7
B )9
C) 14
D) 18

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

30

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