Answer:
When triangle ABC is rotated 180 degrees about the origin to form triangle A'B'C', each corresponding angle in triangle ABC and its image, A'B'C', will have a relationship of being equal. In other words, angle A in triangle ABC will be equal to angle A' in triangle A'B'C', angle B will be equal to angle B', and angle C will be equal to angle C'. This is because rotation preserves angles, maintaining their measures.