Question

By the congruent supplementary theorem, what can you conclude

Answer 1

The second option is what we can conclude.

Explanation:

Angles FBC and DBG are congruent also because they are Opposite Angles by the Vertex, we can see trough vertex B, and neither angles have a common segment.

Answer 2

Short Answer Only B is true.
Reasoning
A
A is not True. CBG is not equal to DBG. They are supplementary but not equal.

B
B is correct.

C
CBG = DBF are given as equal. It is not necessarily true that they are supplementary. That would be true only if they were both 90o

D
The two angles are equal, but they are not supplementary. They would be only if both were 90o which is shown not to be the case.