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RD Sharma Class 9 Maths Lines and Angles Solutions - Free PDF Download

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Overview of Class 9 RD Sharma PDF Free Download from Vedantu

RD Sharma Class 9 Maths Solutions Chapter 8 includes various exercises of Lines and Angles to help students practice the concepts more effectively. Students can now freely access RD Sharma Solutions for Class 9 Maths Lines and Angles here. The chapter deals with lines and angles, their different types, formulas and properties etc. Understanding this chapter is quite crucial and students will have to put in some extra time to practice all questions to get fully acquainted with the chapter.


The NCERT Solutions are always beneficial in your exam preparation and revision. Download NCERT Solutions for Class 9 Maths and Class 9 Science NCERT Solutions from Vedantu, which are curated by master teachers.

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Class 9 RD Sharma Textbook Solutions Chapter 8 - Lines and Angles

Basic Terms and Definitions

  • Point - A point is that which has no part. Represented by a dot.

  • Line - When we combine two different points and find a line. The line has no endings and can be extended indefinitely.

  • Line Segment - It is a line segment with two endings.

  • Ray - Ray is also part of a line that has only one end and is endless on the other side.

  • Collinear and Non-collinear points - Points lying on the same line are known as collinear and points lying on the same line are known as Collinear Points.

  • Angles- When two rays start in the same place they form an angle. Two rays are the arms of an angle and the last point is the vertex of an angle.

  • The acute angle is between 0 ° and 90 °.

  • Right, An angle of exactly 90 °.

  • Obtuse Angle between 90 ° and 180 °.

  • Reflex An angle between 180 ° and 360 °

  • Straight angle exactly 180 °.

  • Complete angle exactly 360 °.

  • Complementary and Supplementary Angles- Complementary Angles are those which have the sum of two angles as 90°. Supplementary Angles are those which have the sum of two angles as 180°.

  • Intersecting Lines and Non-Intersecting Lines- There are two ways to draw two lines- 

  • Intersecting Lines - The lines which have only one point in common are referred to as Intersecting lines. For the intersection of lines, a minimum of two lines are required. The point where all the lines meet is called the point of intersection. 

  • Non-intersecting lines are referred to as Parallel Lines and always consist of the same distance from each other. 

FAQs on RD Sharma Class 9 Maths Lines and Angles Solutions - Free PDF Download

1. Why is RD Sharma the best book for solving Class 9 Chapter 8 Lines and Angles?

Students should refer to RD Sharma Solutions for Class 9 Lines and angles as these solutions will start with the basic definitions from the chapter. There are loads of axioms and theorems in the RD Sharma book which will enable the students to solve complex problems. The 4 exercises in this chapter are very important and you will find the solution to each of them at the Vedantu website. Basic concepts of lines and angles are available free of cost on the Vedantu website. Avoid problems and enjoy hassle-free preparation with the help of Vedantu. This is the reason why the students should choose RD Sharma for the preparation of various concepts from the chapter.

2.   Do RD Sharma Solutions for Class 9 Chapter 8 Lines and Angles provide accurate and right answers to all the problems?

All the solutions in RD Sharma Class 9 Chapter 8 Lines and Angles are correct and precise. It increases the conceptual knowledge of the various topics, axioms, and theorems concerning angles, angle relations, the difference between the linear pair of angles and supplementary angles, and vertically opposite angles. The students should repeatedly practise all the problems sums in the RD Sharma book and have a clear view of the same. Continuous practice is the only solution to getting good marks in the exam. It will clear doubts and enhance the time management skill and logical thinking abilities of the students.

3. What are the important axioms from the Class 9 Chapter 8 Lines and Angles?

There are 4 important axioms from the Class 9 Chapter 8 Lines and Angles. They are as follows:

  • Axiom 1 - The sum of adjacent angles will be 180° if we consider a ray starting from a line. Therefore, these angles are supplementary.

  • Axiom 2 - The uncommon arms on both the sides of the common arms together form a straight line when we find that the sum of any two adjacent angles in 180°

  • Axiom 3 - The corresponding angles axiom explains that all pairs of corresponding angles will be equal when transversal will intersect two parallel lines.

  • Axiom 4 - If the corresponding angles are equal when a transversal intersects a pair of lines then it is a pair of parallel lines.

4. What are important theorems from Class 9 Chapter 8 Lines and angles?

  • Theorem A - In the case of the crossing of two parallel lines by a transversal:

  • Vertically opposite angle pairs are equal.

  • All pairs of other inner angles are the same

  • All pairs of internal angles on the same transversal side are added.

  • Theorem B - Two lines corresponding to one line are parallel to one another.

  • Theorem C - Angle Sum Property describes that the sum of all the angles in a triangle is 180 °. This theorem is also referred to as the angle-sum property of a triangle.

  • Theorem D - When the transverse crosses a pair of lines and the alternate angles are shaped, the lines are parallel.

  • Theorem E - When a transverse intersects a pair of lines and internal angles on the same side of the transversal are supplementary, the two lines are aligned.

5. What are the rules of angles?

Just as the straight-line angles add 180 angles and the three inner angles of the triangle also add 180 angles, the outer angle of the triangle is equal to the sum of the two opposite internal angles as shown above.

  • The triangle angles add up to 180 degrees.

  • The quadrilateral angles add up to 360 degrees.

  • The straight line angles add up to 180 degrees.

  • Opposite Angles Are Equal.

  • The sum of opposite interior angles is called the exterior angle of a triangle.

  • Corresponding Angles are Equal.