If triangle ABC is similar to DBE, then:
- Segments AC and DE must be parallel: Both lines are parallel because they do not intersect each other
-AB is a transversal line passing AC and DE: DE intersects AB and BC in the same ratio, So AC and DE are parallel.
Angle B is congruent to itself due to the reflexive property:
Looking at the triangles, the next angles ∠BAC and ∠BDE are corresponding.
Hence, the only option that is not valid for similar triangles is "The sum of angles A and B are supplementary to angle C".
The correct answer is the first option.
