Two distinct straight lines p and q are intersected by a third line t at points M and N respectively. Answer the following questions:
a. (i) Define consecutive interior angles with respect to lines p, q and the transversal t.
b. (ii) If p∥q, state and justify the relationship between any one pair of consecutive interior angles formed by t.
c. (iii) Suppose a pair of consecutive interior angles formed by t are found to be supplementary. Explain, with reasons, whether this information is sufficient to conclude that p∥q.