Two distinct straight lines and are intersected by a third line at points and respectively
MATHEMATICS · Multi-part · CBSE · Mathematics · Lines and Angles · Lines and Angles
Problem
Two distinct straight lines p and q are intersected by a third line t at points M and N respectively. Answer the following questions:
(i) Define consecutive interior angles with respect to lines p, q and the transversal t.
(ii) If p∥q, state and justify the relationship between any one pair of consecutive interior angles formed by t.
(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.