NCERT Solutions for Chapter 2 Lines and Angles Class 6 Maths Exercise 2.5 - FREE PDF Download
Exercise 2.5 in Class 6 Maths Chapter Lines and Angles focuses on the practical aspects of working with angles. This exercise introduces you to using a protractor, an important tool for measuring angles accurately. Students will practise measuring various angles and drawing angles of specific degrees, such as 30°, 45°, and 90°. These solutions match the CBSE Class 6 Maths Syllabus, offering clear explanations and step-by-step help to grasp basic concepts and build a solid foundation in recognising patterns.
- 3.1Exercise 2.5
You can download these NCERT Solutions for Maths Class 6 as a FREE PDF, making it simple for students to improve their problem-solving skills and prepare for exams. The solutions include useful tips and shortcuts, making studying more interesting and effective.
Glance on NCERT Solutions Maths Chapter 2 Exercise 2.5 Class 6 | Vedantu
Exercise 2.5 in Class 6 Maths Chapter Lines and Angles focuses on measuring and drawing different angles.
Students will learn how to use a protractor to measure angles accurately and practice drawing specific angles, such as 30°, 45°, 60°, and 90°.
This exercise also helps you classify angles into acute, right, obtuse, straight, and reflex categories.
By engaging in these activities, you will deepen your understanding of how to work with angles and enhance your skills in constructing and interpreting geometric figures.
Exercise 2.5
1. Can you find the angles in the given pictures? Draw the rays forming any one of the angles and name the vertex of the angle.
Ans:
(a)∠ADB, ∠BDC, vertex = D
(b) ∠PQR, vertex: Q
(c) ∠LMN, vertex= M
(d) ∠XYZ, vertex = Y
2. Draw and label an angle with arms ST and SR.
Ans:
3. Explain why ∠APC cannot be labelled as ∠P.
Ans:
There are three angles at P.
∠P may refer to ∠APB, ∠BPC, or ∠APC.
It must be designated as ∠APC, ∠APB, or ∠BPC to obtain the right angle.
Remember that a single point cannot form an angle.
4. Name the angles marked in the given figure
Angle 1 is ∠RTP
Angle 2 is ∠RTQ
5. Mark any three points on your paper that are not on one line. Label them A, B, C. Draw all possible lines going through pairs of these points. How many lines do you get? Name them. How many angles can you name using A, B, and C? Write them down, and mark each of them with a curve as in Fig. 2.9.
Ans:
Three lines are given to us.
These three are lines CA, BC, and AB.
We also obtain three angles.
∠ABC, ∠BCA, and ∠CAB are these.
6. Now mark any four points on your paper so that no three of them are on one line. Label them A, B, C, and D. Draw all possible lines going through pairs of these points. How many lines do you get? Name them. How many angles can you name using A, B, C, and D? Write them all down, and mark each with a curve as in Fig. 2.9.
Ans:
There are six lines.
The lines in question are AB, BC, CD, DA, AC, and BD.
We obtain twelve angles as well.
BAC, CAD, BAD, ABC, DBC, ABC, BCA, ACD, BCD, CDB, CDA, and BDA are these.
Benefits of NCERT Solutions for Class 6 Maths Chapter 2 Exercise 2.5 Lines and Angles
The solutions provide detailed explanations of different types of angles, such as acute, obtuse, right, straight, and reflex angles.
Each problem is solved with clear, step-by-step instructions, making it easier for students to follow and understand the methods used.
The solutions teach students how to measure angles accurately using a protractor, which is an essential skill in geometry.
By working through various problems, students improve their analytical and problem-solving abilities.
Common misconceptions are addressed, helping students to overcome any confusion they might have about the concepts.
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
Class 6 Maths Chapter 2, Lines and Angles, has taken you through the essential building blocks of geometry. In Exercise 2.5, you learned how to measure and classify different types of angles, including acute, obtuse, right, straight, and reflex angles. Students have strengthened their grasp of geometric concepts by understanding how to use a protractor and recognise these angles in various shapes. This knowledge is important not just for solving mathematical problems but also for understanding the world around you, as angles are everywhere in daily life.
Chapter-wise NCERT Solutions 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 2.5
1. What topics are covered in Exercise 2.5 of Chapter 2 of Class 6 Maths?
Exercise 2.5 focuses on measuring angles using a protractor and identifying different types of angles, such as acute, obtuse, right, straight, and reflex angles.
2. How do I measure an angle using a protractor from Chapter 2 of Class 6 Maths?
To measure an angle, place the midpoint of the protractor on the vertex of the angle. Align one side of the angle with the zero line of the protractor, and then read the degree measure where the other side crosses the number scale.
3. What is an acute angle from Maths Chapter 2 Class 6?
An acute angle is an angle that measures less than 90 degrees.
4. What is an obtuse angle from Lines and Angles Class 6 Maths?
An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees.
5. What is a right angle, and how is it represented in Exercise 2.5 of Chapter 2 of Class 6 Maths?
A right angle measures exactly 90 degrees and is often represented by a small square at the vertex of the angle.
6. What is a straight angle?
A straight angle measures exactly 180 degrees and looks like a straight line.
7. What is a reflex angle covered in Exercise 2.5 of Chapter 2 of Class 6 Maths?
A reflex angle is an angle that measures more than 180 degrees but less than 360 degrees.
8. Why is it important to learn about different types of angles?
Understanding different types of angles is fundamental in geometry, as it helps in solving problems related to shapes, designs, and patterns in mathematics and real-life applications.
9. Are there any tips for accurately using a protractor covered in Exercise 2.5 of Chapter 2 of Class 6 Maths?
Yes, make sure the protractor's centre point is exactly on the vertex of the angle, align one side of the angle with the zero line, and read the correct scale on the protractor (inner or outer) based on the angle's orientation.
10. How can practising Exercise 2.5 help me in exams?
Practising Exercise 2.5 enhances your ability to measure and classify angles accurately, a skill that is often tested in exams. It also builds a strong foundation for more advanced geometry topics you will encounter in higher classes.
