MATHEMATICS · Multi-part · CBSE · Mathematics · Lines and Angles · Lines and Angles
Problem
Two distinct lines p and q are cut by a transversal r. Answer the following questions in the order given.
(a) Define the following terms as used when a transversal intersects two lines:
(i) Corresponding angles
(ii) Alternate interior angles
(iii) Alternate exterior angles
(iv) Co–interior (consecutive interior) angles
(b) At the intersection of r with p, label the four angles in clockwise order starting from the top–left position as ∠1,∠2,∠3,∠4. At the intersection of r with q, label the four angles in the same manner as ∠5,∠6,∠7,∠8. Identify and write the number pairs for:
(i) one pair of corresponding angles,
(ii) one pair of alternate interior angles,
(iii) one pair of co–interior angles.
(c) If p∥q and ∠1=110∘, determine the measure of ∠5. Give a short reason to justify your answer.