Draw a line through point B that meets line AC at a right angle. Make sure this line you drew goes above point B as well.
Now pick a point W on this line (or several points) below B and draw a line from W to A and other from W to point C. Is the angle at point W smaller or larger than angle B? Now pick a point on the line you drew above point B. Call this point V. Is angle V more or less than angle B? Do you get my drift?