# RD Sharma Solutions for Class 6 Maths Chapter 15: Pair of Lines and Transversal Exercise 15.2

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 Maths Chapter 15: Pair of Lines and Transversal Exercise 15.2 Download PDF

### Exercise 15.2 page: 15.6

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 âˆ d and âˆ g and angles corresponding to âˆ f and âˆ h in Fig. 15.17 (ii).

(iii) Angle alternative to âˆ PQR, angle corresponding to âˆ RQF and angle alternate to âˆ 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).

Solution:

(i) Alternate interior angles are âˆ BGH and âˆ CHG; âˆ AGH and âˆ CHF

Alternate exterior angles are âˆ AGE and âˆ DHF; âˆ EGB and âˆ CHF

Corresponding angles are âˆ EGB and âˆ GHD; âˆ EGA and âˆ GHC; âˆ BGH and âˆ DHF; âˆ AGF and âˆ CHF.

(ii) Angles alternate to âˆ d and âˆ g are âˆ e and âˆ b and angles corresponding to âˆ f and âˆ h are âˆ c and âˆ a.

(iii) From the figure we know that l is transversal to m and n.

Angle alternate to âˆ PQR is âˆ QRA

Angle corresponding to âˆ RQF is âˆ BRA

Angle alternate to âˆ PQE is âˆ BRA

(iv) Interior angles are âˆ d, âˆ f and âˆ a, âˆ e and exterior angles are âˆ c, âˆ g and âˆ b, âˆ 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) âˆ PAB and âˆ ABS

(ii) Alternate angles (ii) âˆ PAB and âˆ RBY

(iii) Corresponding angles (iii) âˆ PAB and âˆ XAQ

Solution:

(i) âˆ PAB and âˆ XAQ are vertically opposite angles

(ii) âˆ PAB and âˆ ABS are alternate angles

(iii) âˆ PAB and âˆ RBY are corresponding angles