Final answer:
Angle 2 can be determined as 180 - (8y - 6) if angles 1 and 2 are supplementary, such as when forming a linear pair or being opposite angles formed by intersecting lines.
Step-by-step explanation:
If angle 1 equals 8y - 6, then angle 2 can be determined based on the relationship between angle 1 and angle 2. Without additional context, such as whether the angles are supplementary, complementary, or have some other relationship, we cannot provide an exact answer.
In the case of supplementary angles (angles that add up to 180 degrees), the measure of angle 2 would be 180 - (8y - 6), which matches with option (b) 180 - (8y - 6). If angle 1 and angle 2 form a linear pair, or if they are opposite angles formed by two intersecting lines, then they would indeed be supplementary, and option (b) would be the correct choice.