NCERT Solutions for Class 6 Excercise 2.9 Maths FREE PDF Download
Exercise 2.9 of Chapter 2 Lines and Angles focuses on the measurement of angles using a protractor. This exercise introduces students to the proper techniques for accurately measuring angles in degrees, reinforcing their understanding of different types of angles. Mastery of angle measurement is essential for solving geometric problems and is foundational for further studies in mathematics. This exercise will enhance students' practical skills and confidence in handling geometric concepts.
Our Class 6 Maths NCERT Solutions PDF breaks the lesson into easy-to-understand explanations, making learning fun and interactive. Students will develop essential language skills with engaging activities and exercises. Check out the revised CBSE Class 6 Maths Syllabus and start practicing the Maths Class 6 Chapter 2.
Glance on Class 6 Number Play Ex 2.9 Number Play
Definition of angles
Tools for measuring angles: protractor
Steps to measure angles accurately
Types of angles: acute, right, obtuse, and straight
Relationship between different angles
Question 1. Angles in a clock:
(a) The hands of a clock make different angles at different times. At 1 o’clock, the angle between the hands is 30°. Why?
(b) What will be the angle at 2 o’clock? And at 4 o’clock? 6 o’clock?
(c) Explore other angles made by the hands of a clock.
Answer:
(a) Numbers 1 to 12 are written along the circumference of a clock at equal distances.
360 ÷ 12 = 30.
Hence, angle between two consecutive numbers is 30°
At 1°’ clock hands are at 0 and 1 (consecutive numbers)
Hence angle between them is 30°.
(b) Angle between hands at 2 o’ clock = 2 × 30° = 60° angle between hands at 4 o’clock = 4 × 30°= 120°
Angle between hands at 6 o’ clock = 6 × 30°= 180°
(c) Angle between hands at 5 o’ clock = 5 × 30°= 150°
Angle between hands at 7 o’ clock = 7 × 30° = 210°
Angle between hands at 8 o’ clock = 8 × 30° = 240°
Question 2. The angle of a door: Is it possible to express the amount by which a door is opened using an angle? What will be the vertex of the angle and what will be the arms of the angle?
Answer: Yes, it is possible.
Here, vertex is B, and arms are AB and BC.
Question 3. Vidya is enjoying her time on the swing. She notices that the greater the angle with which she starts the swinging, the greater is the speed she achieves on her swing. But where is the angle? Are you able to see any angle?
Answer: Yes, an angle can be seen.
Question 4. Here is a toy with slanting slabs attached to its sides; the greater the angles or slopes of the slabs, the faster the balls roll. Can angles be used to describe the slopes of the slabs?
Answer: Greater the angle, greater the slope.
For each angle one arm is a side and one arm is the slope.
Question 5. Observe the images below where there is an insect and its rotated version, fan angles be used to describe the amount of rotation? How? What will be the arms of the angle and the vertex?
Hint: Observe the horizontal line touching the insects.
Answer: Both insects are rotated 90° clockwise.
Benefits of NCERT Solutions for Class 6 Maths Ex 2.9
Hands-On Practice: Encourages students to use a protractor, improving their practical skills.
Foundation in Geometry: Lays the groundwork for understanding more complex geometric concepts.
Problem-Solving Skills: Enhances analytical thinking through angle measurement and comparisons.
Real-World Relevance: Applies angle measurement in everyday scenarios, making learning engaging.
Class 6 Maths Chapter 2: Exercises Breakdown
Important Study Material Links for Class 6 Maths Chapter 2 - Lines and Angles
Conclusion
Exercise 2.9 on Measuring Angles in Chapter 2 is a crucial step in understanding geometry. By mastering angle measurement, students gain confidence and a solid foundation for future mathematical concepts. Vedantu's NCERT Solutions provide clear explanations and practice opportunities, making it easier for students to learn and excel in this topic.
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 Excercise 2.9 Lines and Angles
1. What topics are covered in Chapter 2: Lines and Angles?
Chapter 2 covers definitions of lines and angles, types of angles, and how to measure angles using a protractor.
2. How does Vedantu's NCERT Solutions help with Exercise 2.9?
Vedantu provides detailed explanations and step-by-step solutions to help students understand how to measure angles accurately.
3. What tools do students need for Exercise 2.9?
Students need a protractor and a ruler to measure angles in this exercise.
4. What types of angles will I learn to measure in this chapter?
You will learn to measure acute, right, obtuse, and straight angles.
5. Are there practice problems available on Vedantu for this exercise?
Yes, Vedantu offers a variety of practice problems to reinforce the skills learned in Exercise 2.9.
6. Why is measuring angles important in mathematics?
Measuring angles is crucial for solving geometric problems and understanding the properties of shapes.
7. Can I use Vedantu for revision before exams?
Absolutely! Vedantu's NCERT Solutions are great for revision and help clarify concepts before exams.
8. Is this exercise included in the NCERT syllabus?
Yes, Exercise 2.9 is part of the NCERT syllabus for Class 6 Maths.
9. What should I focus on when learning to measure angles?
Focus on understanding how to use a protractor correctly and identifying different types of angles.
10. How can I access Vedantu's resources for Chapter 2: Lines and Angles?
Students can easily access Vedantu's NCERT Solutions online for comprehensive guidance on Chapter 2.
