NCERT Solutions for Chapter 2 Lines and Angles Class 6 Maths Exercise 2.7 - FREE PDF Download
Vedantu provides NCERT Solutions for Class 6 Maths Chapter 2 Lines and Angles Exercise 2.7, which focuses on rotating arms and how they form different angles. In this chapter, students learn about the basic concepts of lines, angles, and their types, such as right angles, acute angles, and obtuse angles, through easy-to-follow explanations and interactive exercises. Exercise 2.7 helps students explore how angles are created by rotating arms and the importance of understanding these concepts in geometry.
- 3.1Exercise 2.7
Aligned with the CBSE Class 6 Maths Syllabus, the solutions ensure that students can grasp essential concepts while practising important problems step-by-step. These Class 6 Maths NCERT Solutions offer a detailed approach, helping students improve their problem-solving skills and prepare effectively for exams, while also building a strong foundation in geometry for future learning.
Glance on NCERT Solutions Maths Chapter 2 Exercise 2.7 Class 6 | Vedantu
Exercise 2.7 in Class 6 Maths Chapter Lines and Angles focuses on Making Rotating Arms.
Learn about the basic concepts of lines and angles, understanding how they are fundamental to geometry.
This chapter explains how rotating arms help in visualizing and forming angles, making it easier for students to grasp the concept of angle measurement.
Study the different types of angles like right angles (90°), acute angles (less than 90°), and obtuse angles (more than 90°), and how they are formed by rotating arms.
This exercise offers real-world examples of angle formation, making geometry more relatable and easier to understand.
Exercise 2.7
1. How many right angles do the windows of your classroom contain? Do you see other right angles in your classroom?
Ans: In general a window has 4 right angles
$\angle$1, $\angle$2, $\angle$3 and $\angle$4
Yes, At corners of the door and at corners of the blackboard etc.
2. Join A to other grid points in the figure by a straight line to get a straight angle. What are all the different ways of doing it?
Ans:
This can be done in one way.
3. Now join A to other grid points in the figure by a straight line to get a right angle. What are all the different ways of doing it?
Hint: Extend the line further as shown in the figure below. To get a right angle at A, we need to draw a line through it that divides the straight angle CAB into two equal parts.
Ans:
4. Get a slanting crease on the paper. Now, try to get another crease that is perpendicular to the slanting crease.
a. How many right angles do you have now? Justify why the angles are exact right angles.
Ans: We get 4 right angles.
For example let say M be the point of intersection of the two creases.
The 2 creases are perpendicular lines meeting at P.
Therefore, all the four angles are right angles.
b. Describe how you folded the paper so that any other person who doesn’t know the process can simply follow your description to get the right angle.
Ans:
Step 1: Start by taking a sheet of paper and fold it in half.
Step 2: Press firmly to create a crease along the fold.
Step 3: Fold the paper once more so that the two sections of the crease align perfectly.
Step 4: Press down again to form another crease.
Step 5: Unfold the paper completely to reveal both creases.
You will now see two perpendicular lines intersecting, forming four right angles.
Benefits of NCERT Solutions for Class 6 Maths Chapter 2 Exercise 2.7 Lines and Angles
Students gain a simple and clear understanding of making rotating arms.
Exercise 2.7 solutions help students visualise and comprehend how rotating arms form different angles, simplifying the concept of angle measurement.
The solutions provide a thorough explanation of how lines and angles are related, helping students understand the core concepts of geometry.
The concepts taught through rotating arms and angles can be applied to real-life situations, such as understanding the movements of objects and directions, making learning more relevant.
The solutions are based on the NCERT curriculum, ensuring that all the important topics are covered thoroughly.
Class 6 Maths Chapter 2: Exercises Breakdown
Important Study Material Links for Class 6 Maths Chapter 2 - Lines and Angles
Conclusion
The NCERT Solutions for Class 6 Maths Chapter 2 Lines and Angles Exercise 2.7 on Making Rotating Arms" provided by Vedantu provides a clear and detailed approach to understanding angle formation. By exploring how rotating arms create different types of angles, students can easily understand the key concepts of geometry. These solutions simplify learning with step-by-step explanations, making it easier for students to practise and build confidence in solving problems related to lines and angles. Aligned with the NCERT syllabus, these solutions ensure that students are well-prepared for exams and can develop a strong foundation in geometry for future topics. Vedantu’s solutions help make learning engaging, practical, and effective for all students.
Chapter-specific NCERT Solutions for Class 6 Maths
The chapter-wise NCERT Solutions for Class 6 Maths are given below. Go through these chapter-wise solutions to be thoroughly familiar with the concepts.
Related Important Links for Class 6 Maths
Along with this, students can also download additional study materials provided by Vedantu for Maths Class 6.
FAQs on NCERT Solutions for Class 6 Maths Chapter 2 - Lines and Angles Exercise 2.7
1. What is the main focus of Class 6 Maths Chapter 2 Lines and Angles Exercise 2.7 "Making Rotating Arms"?
The main focus of this exercise is to help students understand how angles are formed when arms rotate and to identify different types of angles such as right, acute, and obtuse angles.
2. How do the NCERT Solutions for Class 6 Maths Chapter 2 Lines and Angles Exercise 2.7 help students?
These solutions provide clear, step-by-step explanations that simplify the process of understanding angle formation through rotating arms, making it easier for students to practise and solve related problems.
3. What types of angles are covered in Class 6 Maths Chapter 2 Lines and Angles Exercise 2.7?
Exercise 2.7 introduces students to various types of angles, including right angles (90°), acute angles (less than 90°), and obtuse angles (greater than 90°), helping them differentiate and identify these angles.
4. How do rotating arms help in learning about angles in Class 6 Maths Chapter 2 Lines and Angles Exercise 2.7?
Rotating arms provide a visual and practical way for students to understand how angles are formed, making the concept of angle measurement more interactive and easier to grasp.
5. Are the NCERT Solutions for Class 6 Maths Chapter 2 Lines and Angles Exercise 2.7 aligned with the syllabus?
Yes, these solutions are completely aligned with the NCERT syllabus, ensuring that students learn all the important concepts related to lines and angles as required for their exams.
6. Can NCERT Solutions for Class 6 Maths Chapter 2 Lines and Angles Exercise 2.7 help in exam preparation?
Yes, these solutions help students prepare for exams by providing thorough practice of angle-related problems, enhancing their understanding and problem-solving skills.
7. Why is it important to learn about rotating arms in Class 6 Maths Chapter 2 Lines and Angles Exercise 2.7?
Understanding rotating arms helps students visualise how angles are created, which is essential for grasping the concept of angle measurement and identifying different types of angles.
8. How does Class 6 Maths Chapter 2 Lines and Angles Exercise 2.7 build a foundation for future geometry topics?
This exercise introduces fundamental concepts of lines and angles, which are crucial for advanced geometry topics in higher classes, such as triangles, polygons, and circles.
9. What is the benefit of step-by-step solutions for Class 6 Maths Chapter 2 Lines and Angles Exercise 2.7?
Step-by-step solutions guide students through the process of solving each problem, making it easier to understand and apply concepts like rotating arms and angle formation.
10. How do the NCERT Solutions for Class 6 Maths Chapter 2 Lines and Angles Exercise 2.7 improve problem-solving skills?
These solutions provide detailed explanations for each question, allowing students to practise effectively and improve their ability to solve geometry problems involving lines and angles.
11. What is the role of the Class 6 Maths Chapter 2 Lines and Angles Exercise 2.7 in understanding right angles?
Exercise 2.7 helps students learn how right angles (90°) are formed through rotating arms, giving them a solid understanding of one of the most important types of angles.
12. Can students use the NCERT Solutions for Class 6 Maths Chapter 2 Lines and Angles Exercise 2.7 for revision?
Yes, these solutions are excellent for revision as they provide a clear and concise review of key concepts, making it easier for students to revise and prepare for exams effectively.
