Question

Which statement and reason best completes the proof?A. 2. is supplementary to 2. linear pair theoremB. 2. 2. definition of supplementary anglesC. 2. 2. definition of supplementary anglesD. 2. is supplementary to 2. linear pair theorem

Answer 1

In order to prove that the angles 1 and 3 are congruent through the congruent supplements theorem, we need to show that the angles 1 and 3 are supplementary to the same angle.

On the 3rd statement, the angle 3 and the angle 2 are identified as supplementary angles.

Then, the missing statement would be to identify the angles 1 and 2 as supplementary angles by the linear pair theorem.

Therefore, the correct choice is option A) 1 is supplementary to 2, linear pair theorem.