Geometry

The answer is D. 36.

 

1. Recall the property of congruent line segments:

When , by the definition of congruent line segments, the lengths of the two segments are equal. That is, .

 

Also, since , then according to the definition of congruent line segments.

 

2. Apply the transitive property of equality:

The transitive property of equality states that if and , then .

In the context of the lengths of our line segments, because and