NCERT Solutions for Class 6 Maths Chapter 2: Lines and Angles - Exercise 2.6

Exercise 2.6 of NCERT Solutions for Class 6 Maths Chapter 2, Lines and Angles is aimed at helping students better understand basic geometries. The exercise focuses on angles, with an emphasis on how to observe and measure angles in practice. The exercise builds upon the students' foundational earlier knowledge of points, lines, line segments and rays. The exercise allows students to connect angles to the real world and develop their ability to see angles and geometries around them.

Learning these skills will be important in later studies of geometry, especially since the properties of angles help to form the properties of more complex geometries and theorems in high school and later classes.

1.0Download NCERT Solutions of Class 6 Maths Chapter 2 Lines and Angles Exercise 2.6

Download the free pdf for NCERT Solutions Class 6 Maths Chapter 2 Lines and Angles, Exercise 2.6 that you can use to prepare for exams and gain a deeper understand of basic geometries focused on angles.

2.0Key Concepts of Exercise 2.6

Comparing Angles: Knowing how to compare and visualize angles to determine which is bigger or smaller.

Measuring angles: Knowing how to measure angles according to protractor- a basic geometrical tool. 

Types of Angles: Knowing the different types of angles, obstacles in our learning.

• Acute Angles: Angles less than 90∘
• Right Angles: Angles measuring exactly 90∘ (Like the corner of square.)
• Obtuse Angles: Angles measuring more than 90∘, but not more than 180∘

Angle Properties: Understanding that the size of an angle is based on the "spread" or "opening" of the arms.

Real-Life Applications: Recognizing angles within real-life objects and situations (e.g., clock hands, corners of rooms, door openings).

3.0NCERT Exercise Solutions Class 6 Chapter 2 Lines and Angles : All Exercises 

Find all the NCERT Exercises Solutions from class 6 Maths Chapter 2:

4.0NCERT Class 6 Maths Chapter 2 Exercise 2.6 : Detailed Solutions

1. Fold a rectangular sheet of paper, then draw a line along the fold created. Name and compare the angles formed between the fold and the sides of the paper. Make different angles by folding a rectangular sheet of paper and compare the angles. Which is the largest and smallest angle you made

Sol. The angles formed with the line along the fold created are ( ∠AEF ), ( ∠BEF ), ( ∠DFE ), and ( ∠CFE ), which are marked as 1,2,3, and 4 . Out of these angles, ( ∠AEF ) and ( ∠CFE ) are the larger ones, whereas (BEF) and (∠DFE) are the smaller ones.

2. In each case, determine which angle is greater and why.

a. ∠AOB or ∠XOY

b. ∠AOB or ∠XOB

c. ∠XOB or ∠XOC

Discuss with your friends on how you decided which one is greater.

Sol. a. ∠AOB>∠XOY because ∠XOY is contained within ∠AOB. It means ∠XOY is a part of ∠AOB.

b. ∠AOB>∠XOB because ∠XOB is contained within ∠AOB. It means ∠XOB is a part of ∠AOB.

c. ∠XOB=∠XOC, because both angles are formed with the same rays with common vertex 0 .

3. Which angle is greater: ∠XOB or ∠AOB ? Give reasons.

Sol. ∠XOB>∠AOB because ∠AOB is contained within ∠XOB. It means ∠AOB is a part of ∠XOB.

5.0Key Features and Benefits Class 6 Maths Chapter 2 Lines and Angles: Exercise 2.6

• Step-by-Step Explanations: You can see complete, step-by-step solutions for every problem so you will clearly understand complex topics.
• Conceptual Clarity: Allows students to gain conceptual clarity about lines, angles before practicing on their own, especially with focused practice on angle properties. 
• Practical Skills Development: Students can develop practical skills like use of a protractor to measure angles, as well as visual comparison of angles.
• Conformance with Syllabus: Satisfies CBSE Class 6 Maths syllabus and covers all angles in relation to the topics the curriculum requires.
• Effective Exam Preparation: Provides a strong resource for revision and practice that can be used to effectively revise topics while building student's confidence for examinations.
• Real-World Relevance: Maths topics discussed in the eBook can link thoughts students are having about geometry and the real world.
• Free Access: This eBook is made available in PDF format so students can download the file and study and learn the solutions offline, if needed."