Final Answer:
The statement that indicates line b is parallel to line c is option B: ∡6≅∡3. When corresponding angles (∡6 and ∡3) are congruent, it implies that the lines they belong to are parallel.
Step-by-step explanation:
Parallel lines have corresponding angles that are congruent. In this context, ∡6 and ∡3 are corresponding angles, and the statement ∡6≅∡3 suggests that these angles are equal in measure. According to the Corresponding Angles Postulate, when corresponding angles are congruent, it signifies that the lines containing these angles are parallel.
Option B directly expresses the congruence between ∡6 and ∡3, making it the statement that indicates the parallel relationship between line b and line c. This is a fundamental concept in geometry, and the reasoning behind it lies in the geometric properties of parallel lines and their corresponding angles.