NCERT Solutions for Lines and Angles Exercise 6.2 Class 9 Maths

Exercise 6.2 Class 9 Maths: Every CBSE school administers the Class 9 exams, which is significant in laying a strong foundation for learning Class 10 syllabus. CBSE Class 9 Chapter 6 is an extremely important chapter for competitive and school exams. Lines and Angles is the title of the chapter. Lines and Angles belong to the unit Geometry. The chapter carries a weightage of 27%.

Embibe’s subject experts provide ex 6.2 Class 9 NCERT Maths solutions. These answers are available to students for use and practice. Class 9 Maths Chapter 6 exercise 6.2 ask students to answer questions that require proper understanding. Read through the article to find out more about Class 9 ex 6.2 and the NCERT Solutions for Class 9 Maths Chapter 6 exercise 6.2!

Exercise 6.2 Class 9 Maths: Chapter Overview

Before we go into the Class 9 Maths ex 6.2, students must have a clear overview of what the chapter deals with. If there is no proper introduction given to the chapter, it becomes difficult for the students to comprehend the topics fully. Hence, let us start with the table discussing the sub-topics discussed under lines and angles.

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NCERT Solutions for Lines and Angles Exercise 6.2 Class 9 Maths: Chapter Summary

When two or more points are connected, a line is produced. A line segment is generated when two endpoints are linked. The line segment begins at the point and concludes at the point. A collinear line exists when one line intersects with another. When two rays begin from the same source but travel in opposite directions, they form an angle.

The chapter Lines and Angles is covered in NCERT Solutions for Class 9 Maths Chapter 6 Lines and Angles. This article covers the fundamentals of geometry, focusing on the properties of the angles created when two lines intersect and when a line intersects two or more parallel lines at distinct points. This chapter is part of the Unit – Geometry and is part of the CBSE Class 9 Maths Term I Syllabus. 

One might be wondering why are we learning about lines and angles? What are some of its practical applications? The answer is that lines and angles can be found all throughout the place. The structure of a building is designed using lines and angles in architecture. 

When you come to a complete stop at a signal and then proceed when the signal light becomes green, you can either make a left or right angle turn or proceed in a straight line. Knowing the angles is necessary when determining the height of a tower or the location of an aircraft.

You will learn to tackle questions relating to the topics of Lines and Angles in NCERT Solutions for Class 9 Maths Chapter 6 as per the new CBSE syllabus for 2025. Students can download a complete PDF of the NCERT Solutions for Class 9 Maths for this chapter from the article.

Class 9 Maths Exercise 6.2 PDF

Ex 6.2 class 9 maths NCERT solutions deals with finding the angles when several conditions are given. There is more to it which can be found out by the students by practicing the exercises thoroughly. Here we have provided the pdf link for the students to download.

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Q.1. In the given figure, lines AB and CD intersect at O. If ∠AOC+∠BOE=70° and ∠BOD=40°, find ∠BOE and reflex ∠COE.

Q.2. In the given figure, lines XY and MN intersect at O. If POY=90° and a:b=2:3, find c.

Ans:

Given, POY=90° and a:b=2:3.
Let the common ratio between a and b be x. a=2x and b=3x. XY is a straight line, OM and OP rays stands on
it. Therefore, XOM+MOP+POY=180° (Sum of angles on straight line) a+b+POY=180
3x+2x+90°=180° 5x=90° x=18° So, a=2x=2×18°=36° and b=3x=3×18°=54°
Now, MN is a straight line. OX ray stands on it.
b+c=180°(Sum of angles on straight line)
54°+c=180° c=180°-54°=126° c=126° Therefore, the value of c is 126°.

Q.3. In the given figure, PQR=PRQ, then prove that PQS=PRT.

In the figure, it is given that ST is a straight line and PQR=PRQ.
To prove: PQS=PRT Proof: PQS and PQR are linear pair of angles. PQS+PQR=180°
PQR=180°-PQS 1 Similarly, PRT+PRQ=180° PRQ=180°-PRT 2
Given, PQR=PRQ From equations 1 and 2, we have 180°-PQS=180°-PRT PQS=PRT Hence,
proved.

The Benefits of NCERT Questions and Solutions

There are various benefits to tackling NCERT problems, along with the ability to consult to solutions offered by topic experts. The article includes NCERT solutions for class 9 maths chapter 6 exercise 6.2 Students should, however, value all of the problems and solutions equally. Here are some of the benefits of going over the NCERT in-text questions and solutions thoroughly:

• Deeper Understanding of Concepts: NCERT books are the primary source of information for most students preparing for board or entrance exams! This is because the NCERT textbooks teach the most difficult topics in the most thorough manner. Topic-by-topic, in-depth knowledge is offered. Students gain a clear understanding of the subject by answering NCERT questions. When it comes to math, clarity is crucial, and answering the in-text solutions will provide pupils with the essential clarity. To improve their math skills, students should engage in intensive practice sessions.

• Questions About CBSE Curriculum: Every year, the CBSE board administers the board exams, which pupils typically find difficult. This is because the quality of queries is rising. The board examinations can be easily passed if a student solves the NCERT solutions and practices them on a regular basis. The majority of questions on the Maths board exam are NCERT in-text questions.

• Better Grades with Topic-by-topic Clarity: NCERT in-text questions will help a student achieve the highest possible grade. Even if students do not have time to practice the additional questions from the curriculum, answering NCERT questions is more than adequate to achieve good exam results. Each topic is covered with activities, so students will gain topic-specific clarity.

• The Finest Way To Prepare For Competitive Exams: NCERT books are the best way to prepare for competitive exams for those who want to pass them. NCERT books can provide a solid foundation for any subject’s themes. Students will be able to learn advanced topics easily in the future.

• Easy Understanding of Ideas: Topics are easily comprehended once students start practicing the in-text questions. The solutions are presented in a step-by-step format, making it easier for pupils to follow after revising.

• Best Source of Genuine Information: While many online sources are unavailable to pupils, NCERT textbook questions can be thoroughly practiced for the most up-to-date and correct knowledge. Students should remember that going over the NCERT textbook questions and solutions thoroughly is the first step toward comprehending the ideas. Solving these questions will get you 90% of your grade.

FAQs on Exercise 2.6 Class 9 Maths

Students will confront several challenges as they begin their preparation for the Class 9 exams. Students will have a lot of questions once they start practicing Maths. The majority of students find it difficult. However, with the right guidance, conquering these fears is an easy job! Here are the answers to a few of the most often asked questions:

Q.1: Where can I download lines and angles class 9 NCERT solutions for?
Ans: One can download the exercise 6.2 class 9 maths solutions from Embibe for. They provide the study materials, mock tests and video lessons, for as well. Students can download or view them for at any time and practice! In fact, Embibe provides the students ncert solutions from the subject experts for all the in-text exercises of every chapter. Students will have to do a sign up and explore the world of learning with Embibe!

Q.2: What are the few important topics under the chapter lines and angles?
Ans: A few important topics under the chapter lines and angles:

• Line Segment 
• Ray
• Non-Collinear Points
• Angle 
• Acute Angle
• Right Angle
• Obtuse Angle
• Reflex Angle
• Complementary Angles
• Supplementary Angles
• Adjacent Angles
• Linear Pair Angles
• Vertically Opposite Angles
• Transversal Lines
• Axioms of Lines and Angles    
• Theorems of Class 9 Lines and Angles 

Q.3: What are the topics under Geometry in class 9?
Ans: A few important topics under Geometry are Introduction to Euclid’s Geometry, Lines and Angles, Triangles, Quadrilaterals, Areas, Circles, and Constructions. Geometry carries 22 marks and students must be thorough with all the chapters.

Q.4: Is it simple to understand the NCERT Solutions for Class 9 Maths Chapter 6?
Ans: It is extremely simple to understand NCERT solutions if one is thorough with every topic given in the chapter. Students can score very good marks if they are familiar with the NCERT questions. Embibe’s NCERT Solutions can assist you in better comprehending the chapter Lines and Angles. The NCERT Solutions for Class 9 Maths Chapter 6 have been broken down into step-by-step instructions. NCERT Solutions for Class 9 Chapter 6 are written in such a way that any class 9 student may comprehend them.

Q.5: How can I prepare well for Maths Class 9 exam?
Ans: Class 9 exams are conducted by the respective schools but with respect to CBSE curriculum. However, to prepare well for Class 9 exams, students have to practice all the NCERT questions and solutions well. Also, practice the sample papers or previous year’s question papers. Regular practice is enough to get the best marks in Class 9 exams.

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We hope that the article on Exercise 6.2 Class 9 will help the students resolve most of their doubts. Stay tuned to Embibe for further details!