NCERT Solutions for Lines and Angles Exercise 6.1 Class 9 Maths

Class 9 Maths Chapter 6 Exercise 6.1: The Class 9 Maths Chapter 6 deals with the Lines and Angles topic. We have provided detailed step-by-step solutions for all exercise questions for Ex 6.1 from this chapter. The importance of NCERT solutions can’t be stressed enough. For all students who want to score maximum marks in the final exam, they should definitely solve exercise questions from NCERT textbooks. The NCERT solutions will also be helpful if you find it difficult to understand some topics from this chapter.

The NCERT solutions for Ex 6.1 Class 9 are properly researched and curated by a team of academic experts at Embibe. They understand the understanding level of Class 9 students and prepare answers accordingly. Moreover, the solutions completely align with the CBSE standards, so students can refer to these solutions for answering questions in the final exam without any difficulties. We have provided the solutions in PDF form for the easy convenience of students. Read till the end!

NCERT Solutions for Lines and Angles Ex 6.1 Class 9 Maths: Overview

Our experts have prepared the NCERT solutions for Class 9 Maths Ex 6.1 in the most simple language. Moreover, the solutions have step-by-step explanations to help students understand the underlying concept behind the question. Embibe suggests to students to first try to solve the questions by themselves and if they are stuck somewhere, they should refer to these solutions. Before we provide you with the solutions, let’s have an overview:

NCERT Solutions for Class 9 Maths Chapter 6 Ex 6.1: Download PDFs

The complete solutions for Class 9 Ex 6.1 Maths are available in PDF format. This will benefit students who may not always have access to a reliable internet connection. You can easily print these solutions if you prefer them on paper. Students should also save this page as a bookmark for future reference.

Various entrance examinations and scholarship tests ask questions from this chapter. As a result, download the PDF solutions and answer the exercise questions. Just click on the link we have provided in the table below to obtain the solutions PDF:

About NCERT Solutions for Class 9 Maths Ex 6.1

Exercise 6.1 of Class 9 Maths Chapter 6 focuses on the properties of the angles created when two lines intersect and when a line intersects two or more parallel lines at distinct points. The section starts with the introduction of lines and angles, and then we get the definition of some basic terms. After that, students study intersecting and non-intersecting lines. The last topic is “Pairs of angles.” Let’s see some of the important concepts that are discussed in this exercise:

Lines and Angles: A line is a series of closely spaced dots that span in two directions indefinitely. It just has one dimension, which is the length. A line can be defined as a horizontal mark made on a sheet of paper. On the other hand, a figure formed by two rays meeting at the same terminus is called an angle.

A line segment is defined as a part of a line having two endpoints. A line segment, unlike a line, has a defined length.

Ray: A ray is a segment of a line that has a specified starting point but no endpoint in geometry. It can expand in one direction indefinitely.

Collinear and non-collinear points: Three points lying on the same line constitute a set of collinear points. If three or more points do not lie on the same line, they are called non-collinear points.

Angle: We define an angle as a figure formed by two rays meeting at a common point. We use this ∠ symbol to denote an angle. The angle’s arms are the rays that make up the angle, and the angle’s endpoint is the vertex.

NCERT Solutions for Class 9 Maths Chapter 6 Exercise 6.1: Chapter Description

Here in this section, we have provided the chapter description for CBSE Class 9 Maths Chapter 6: Lines and Angles. The chapter starts with an introduction to lines and angles. Then, students study some common terms related to lines and angles, such as line segments, rays, collinear and non-collinear points, arms, vertex of angle, etc.

After that, there is a section on the types of angles. There are mainly 5 types of angles:

(i) Acute angle: An angle which is more than 0° but less than 90°.
Acute angle: 0° < x < 90°.

(ii) Right angle: Any angle which is exactly equal to 90°.
Right angle: x = 90°

(iii) Obtuse angle: Any angle which is more than 90° but less than 180°.
Obtuse angle: 90° < x < 180°

(iv) Straight angle: Any angle that is exactly equal to 180°.
Straight angle: x = 180°

(v) Reflex angle: Any angle which is more than 180° but less than 360°.
Reflex angle: 180° < t < 360°

The chapter also discusses about the linear pair of angles. 

A linear pair of angles are formed when the sum of two adjacent angles is 180°.

(i) If we stand a ray on a line, then the sum of two adjacent angles so formed is equal to 180°.
(ii) If the sum of any two adjacent angles is 180°, then a ray standing on a line (that is the non-common arms form a line).

∠AOC + ∠BOC = 180°

The last section of the chapter discusses about different properties of lines. They are:

(i) If two straight lines intersect each other at one point, then the vertically opposite angles are equal.
(ii) A line which intersects two or more lines at distinct points is called a transversal.
(iii) If a transversal intersects two parallel lines at two points, then each pair of corresponding angles is equal.
(iv) If two lines are parallel to the same line, will they be parallel to each other.

Angle sum property of a triangle: The sum of the angles of a triangle is 180°.

Importance of NCERT Solutions for Class 9 Maths Chapter 6 Exercise 6.1

Chapter 6-Lines and Angles is an important chapter from the exam point of view. The solutions provided on this page will help you understand the various concepts related to lines and angles. If you’re having problems understanding the topics of lines and angles, the solutions presented here are a great place to start. They will also assist you in achieving the highest possible result on your final board exams.

The NCERT solutions are also beneficial for competitive exams such as JEE, NEET, CAT, NTSE, and others. Students who solve NCERT questions learn about the different types of test questions, such as long-answer questions, short-answer questions, MCQs, fill in the blanks, true or false, match the following, and so on.

FAQs on NCERT Solutions for Lines and Angles Exercise 6.1 Class 9 Maths

Here are some of the frequently asked questions on NCERT Solutions for Lines and Angles Exercise 6.1 Class 9 Maths:

Q1: What is the total number of questions in Ex. 6.1 of Chapter 6 Maths?
A: The total number of questions is 6. 

Q2: What is the difficulty level of Exercise 6.1 of Class 9 Maths?
A: The difficulty level of Exercise 6.1 Class 9 Maths is easy to moderate.

Q3: How many examples and questions are there in Exercise 6.1 of Class 9th Maths?
A: There are 3 solved examples and 6 exercise questions in Ex. 6.1 of Chapter 6 Maths Class 9.

Q4: Will there be direct questions from Ex 6.1 Class 9 Maths in my final exam?
A: Generally, there are no direct questions from NCERT exercises. However, you may find some questions which are direct or slightly changed.

Q5: What is the best way to solve Class 9 Maths Lines and Angles Exercise 6.1?
A: You should always start solving the exercise questions by yourself. This will help you understand the concepts behind solving a question. If you are stuck somewhere while solving, you can refer to the solutions provided on this page.

Also, Check,

We hope this article on NCERT Solutions for Lines and Angles Exercise 6.1 Class 9 Maths was helpful to you. For any further queries, drop us a comment below. Till then, stay tuned to Embibe for more updates on CBSE Class 9 Maths, exam tips and the latest academic articles!