MATHEMATICS · Single correct · CBSE · Mathematics · Lines and Angles · Lines and Angles
Problem
Three distinct lines a, b, and c are intersected by a single transversal t at points P, Q, and R respectively, in that order along t. At each intersection four angles are numbered as follows: 1 (upper left), 2 (upper right), 3 (lower right), and 4 (lower left). It is given that ∠4 at P is equal in measure to ∠2 at R. Which one of the following conclusions is necessarily true?
(a) a∥b
(b) b∥c
(c) a∥c
(d) None of these