Using triangle ABC, how does extending vertex C further away to the left of vertex B verify the relationship between sides and angles in triangles?

a. By showing that as ∠B increases, side BC increases.
b. By showing that as ∠B increases, side AC increases.
c. By showing that as ∠B increases, side BC decreases.
d. By showing that as ∠B increases, side AC remains the same.