Matthew helps to paint another wall. He puts painter's tape on the floor along this wall as well, he puts down 218 centimeters of tape. Beginning at the right end of the wall, he puts down 110 centimeters of tape. The two pieces of tape are too short to connect. He needs to place a third piece of tape between the two other pieces so that tape is along the entire wall. Solve for the length of the third piece of tape, in centimeters. SHOW YOUR WORK

B

Step-by-step explanation:

To solve this, we just need to keep in mind the following:

Vertical angles are always congruent.

Vertical angles are formed by a pair of intersecting lines. The angles across from each other are what we call vertical angles.

So, to find the congruent pair of angles, we just need to find a pair of vertical angles.

In the options given, the only option with a pair of vertical angles would be <13 and <15.

There are a few options that would be congruent if the line segments were parallel, but that is not a given.