Question

fbc and cbg are supplements, dbg and dbf are supplements, and cbg dbf. by the congruent supplements theorem, what can you conclude? cbg dbg fbc dbg cbg is supplementary to dbf. fbc is supplementary to dbg.

Answer 1

We can conclude that FBC is supplementary to DBF. Option C

From the information given, we have that;

• FBC and CBG are supplements.
• Also, DBG and DBF are supplements.
• CBG is congruent to DBF.

Then, we can say that;

• FBC and CBG are supplements.
• CBG and DBF are congruent supplements.

Following the transitive property of congruence, FBC is supplementary to DBF.

Hence, based on the congruent supplements theorem and the given information, the conclusion is: FBC is supplementary to DBF.