The students can download the solutions and use them as a reference guide to get better conceptual knowledge. This exercise has questions based on transversal and angles by a transversal with two lines. Transversal is a line intersecting two or more lines in a plane at different points. The various angles formed by a transversal with two lines are interior angles, exterior angles, corresponding angles, alternate interior and exterior angles. Links of RD Sharma Solutions Class, 6 Maths Chapter 15 Pair of Lines and Transversal Exercise 15.2 PDF, are available here.
RD Sharma Solutions for Class 6 Chapter 15: Pair of Lines and Transversal Exercise 15.2 Download PDF
Access RD Sharma Solutions for Class 6 Chapter 15: Pair of Lines and Transversal Exercise 15.2
1. In Fig. 15.17, line n is a transversal to lines l and m. Identify the following:
(i) Alternate and corresponding angles in Fig. 15.17 (i).
(ii) Angles alternate to ∠d and ∠g and angles corresponding to ∠f and ∠h in Fig. 15.17 (ii).
(iii) Angle alternative to ∠PQR, angle corresponding to ∠RQF and angle alternate to ∠PQE in Fig. 15.17 (iii).
(iv) Pairs of interior and exterior angles on the same side of the transversal in Fig. 15.17 (ii).
(i) Alternate interior angles are ∠BGH and ∠CHG; ∠AGH and ∠CHF
Alternate exterior angles are ∠AGE and ∠DHF; ∠EGB and ∠CHF
Corresponding angles are ∠EGB and ∠GHD; ∠EGA and ∠GHC; ∠BGH and ∠DHF; ∠AGF and ∠CHF.
(ii) Angles alternate to ∠d and ∠g are ∠e and ∠b and angles corresponding to ∠f and ∠h are ∠c and ∠a.
(iii) From the figure we know that l is transversal to m and n.
Angle alternate to ∠PQR is ∠QRA
Angle corresponding to ∠RQF is ∠BRA
Angle alternate to ∠PQE is ∠BRA
(iv) Interior angles are ∠d, ∠f and ∠a, ∠e and exterior angles are ∠c, ∠g and ∠b, ∠h
2. Match column A and column B with the help of the Fig. 15.18:
Column A – Column B
(i) Vertically opposite angles – (i) ∠PAB and ∠ABS
(ii) Alternate angles – (ii) ∠PAB and ∠RBY
(iii) Corresponding angles – (iii) ∠PAB and ∠XAQ
(i) ∠PAB and ∠XAQ are vertically opposite angles
(ii) ∠PAB and ∠ABS are alternate angles
(iii) ∠PAB and ∠RBY are corresponding angles