To solve this problem, let's first analyze the given information:

We have a triangle $ABC$ with a point $D$ on line segment $AC$, creating two smaller triangles, $ABD$ and $BDC$.

We are asked to find the relationship between the angles $\angle ACB - \angle ABC$ and $\angle ADB$.

Analysis:

1. In triangle $ABC$, the sum of angles is: $\angle ABC + \angle BAC + \angle ACB = 180^\circ$

2. Similarly, in triangle $ABD$, the sum of angles is: $\angle ABD + \angle ADB + \angle BAD = 180^\circ$

From the given options, the problem appears to involve an exploration of angle relationships and possibly the use of properties like exterior angles or congruency/similarity of triangles.

Checking the options:

• Option A: $\angle BAC = \angle ABC$ – This doesn't seem relevant here.
• Option B: $\frac{AB}{AD} = \frac{AC}{AD}$ – This represents a ratio and is unrelated to angles.
• Option C: $\triangle ABC = \triangle DAB$ – Both have dissimilar congruency factors. The答案