Is the conjecture T or F if F I need to give a counter example

Question

Given: angle A is supplementary to angle B and angle B is supplementary to angle C

 

Conjecture: angle A is supplementary to angle C

 

I think it's false but not sure why.  is it because they could be right angles or congruent angles or vertical angles

Answer 1

It's false. If both a and c are supplementary to b, then they are congruent (not supplementary) to one another.