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

Chapter 15-Pair of Lines and Transversal concentrates on parallel lines and their properties. A pair of lines that do not meet (intersect) each other and lie on the same plane are called parallel lines. These lines are at a constant distance from each other. In various quadrilaterals, the opposite sides are parallel to one another. Parallel lines are represented using a symbol that contains two vertical lines (||). For example, if two lines AB and CD are parallel, they are denoted as AB||CD

Chapter 15- Pair of Lines and Transversal also deals with lines with respect to the parallel lines. A line perpendicular to any one of two parallel lines is also considered normal to the other. This chapter also focuses on transversal lines. A line that cuts at least two other lines or intersects any two parallel lines is known as a transversal. It is easier to construct a transversal line at any given angle. First, two parallel lines are drawn. Then, construct the required angle on the first line and extend the constructed angle until the transversal line crosses the second line.

Several angles are formed when a transversal cuts two parallel lines. These angles can be organized based on their position. Corresponding angles are those which lie on the same side of the transversal. One angle must be interior, and the other should be exterior. Similarly, parallel lines form alternate angles as well. Both the angles should be either exterior or interior. Angles that share the same vertices are classified as the vertically opposite angle.

The chapter concludes with a brief introduction of Supplementary angles; these are angles whose sum forms 180°.

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