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CBSE Class 6 Maths (Ganita Prakash) Important Questions Chapter 2 - Lines and Angles

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Important Questions for Class 6 Maths Ganita Prakash Chapter 2 Lines and Angles - FREE PDF Download

Class 6 Maths Chapter 2 Lines and Angles explores basic shapes formed by lines and angles, helping students understand their importance in geometry. This chapter covers different types of lines, such as parallel and perpendicular, as well as various angles, like acute, obtuse, and right angles. Learning these basics builds a solid foundation, and with Vedantu’s Important Questions, students can practise these concepts more effectively.

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Aligned with the CBSE Class 6 Maths Syllabus, and provides excellent practice through CBSE Class 6 Important Questions for learning each topic in Maths. These Important Questions are designed to improve understanding and revision. Covering key topics in simple steps, these questions support students in solving real-life problems related to lines and angles, preparing them thoroughly for exams.

Access Important Questions for Class 6 Maths Ganita Prakash Chapter 2 Lines and Angles

1. What is the name of an angle that measures exactly 90°?

Ans: An angle that measures exactly 90° is called a right angle.


2. Identify the type of angle if it measures between 90° and 180°.

Ans: An angle that measures between 90° and 180° is called an obtuse angle.


3. How many degrees are there in a complete rotation around a point?

Ans: A complete rotation around a point measures 360°.


4. What is the sum of two complementary angles if one of the angles is 35°?
Ans: The sum of complementary angles is always 90°.
Let the other angle be xxx.
So, x + 35° = 90°
x = 90° − 35° = 55°
Therefore, the other angle is 55°.


5. What is the measure of each angle if two angles are supplementary and one of them is 110°?
Ans: The sum of supplementary angles is always 180°.
Let the other angle be y.
So, y + 110° = 180°
y = 180° − 110° = 70°
Therefore, the other angle is 70°.


6. Two angles are vertically opposite. If one of the angles is 45°, what is the measure of the other angle?
Ans: Vertically opposite angles are equal.
So, if one angle is 45°, the other vertically opposite angle is also 45°.


7. Define adjacent angles.

Ans: Adjacent angles are two angles that have a common vertex and common arm but do not overlap. They lie next to each other.


8. Find the angle measure if an angle is twice its complement.
Ans: Let the angle be xxx and its complement be 90° − x
According to the question, x =2 $\times$ (90° - x)
Solving:
x = 180° − 2x
3x = 180° 

x = 60°

So, the angle is 60°, and its complement is 30°.


9. What is the measure of each angle if two angles are complementary and equal?

Ans: Let each angle be x. Since they are complementary, x + x = 90°.

So, 2x = 90°, x = 45°.

Therefore, each angle measures 45°.


10. If two angles are in the ratio 2:3 and are supplementary, find the measures of the angles.
Ans: Let the angles be 2x and 3x.
Since they are supplementary, 2x + 3x = 180°
5x = 180°
x = 36°
The angles are 2x = 2 $\times$ 36° = 72° and 3x = 3 $\times$ 36° = 108°.
So, the angles are 72° and 108°.


11. An angle is 30° less than its supplement. Find the angles.
Ans: Let the angle be xxx and its supplement be 180° − x.
According to the question, x = (180° − x) − 30°.
Solving:
x + x = 150°
2x = 150°
x = 75°
So, one angle is 75° and the other is 180° − 75° = 105°.
The angles are 75° and 105°.


12. If one angle of a linear pair is 75°, what is the measure of the other angle?

Ans: In a linear pair, the sum of the angles is 180°.

So, the other angle is 180° − 75° = 105°.

Thus, the measure of the other angle is 105°.


13. Find the angle which is equal to its own complement.
Ans: Let the angle be x.
Since it’s equal to its complement, x + x = 90°.
2x = 90°
x = 45°
So, the angle is 45°.


14. If two lines intersect and one of the angles formed is 120°, what are the measures of the other three angles?
Ans: When two lines intersect, they form two pairs of vertically opposite angles.
If one of the angles is 120°, the angle vertically opposite to it is also 120°.
The other two angles are supplementary to 120°, so each will be 180° − 120° = 60°.
Thus, the four angles are 120°, 120°, 60°, and 60°.


15. If two angles are supplementary and one of them is 35° more than the other, find the angles.

Ans: Let the smaller angle be x; the larger angle is x + 35°.

Since they are supplementary:

x + (x+35°) = 180°

2x = 145°

x = 72.5° 

Therefore, x + 35° = 72.5° + 35°  = 107.5°

The angles are 72.5° and 107.5°.


16. An angle is 40° more than its complement. Find the angles.
Ans: Let the angle be xxx and its complement be 90° − x.
According to the question, x = (90°−x) + 40°.
Solving:
2x=130°2x = 130°2x=130°
x=65°x = 65°x=65°
So, the angle is 65° and its complement is 90°−65°=25°90° - 65° = 25°90°−65°=25°.
The angles are 65° and 25°.


17. Name an example of perpendicular lines in daily life.

Ans: An example of perpendicular lines in daily life is the intersection of the edges of a notebook (where the horizontal and vertical edges meet at right angles).


18. Find the angles if two angles are in the ratio 3:7 and are supplementary.
Ans: Let the angles be 3x and 7x.
Since they are supplementary, 3x + 7x = 180°.
10x = 180°

x =18°
The angles are 3x = $ \times$ 18° = 54° and 7x = 7$ \times $18° = 126°.
So, the angles are 54° and 126°.


19. What is the measure of the angle formed by the hands of a clock at 3 o’clock?

Ans: At 3 o’clock, the minute hand is at 12, and the hour hand is at 3, forming a right angle.

Therefore, the angle formed is 90°.


20. If two angles are in the ratio 4:5 and form a linear pair, find the measures of the angles.

Ans: Let the angles be 4x4x4x and 5x5x5x. Since they form a linear pair, their sum is 180°.

So, 4x + 5x = 180°

9x = 180°

x = 20°

The angles are 4x = 4 $\times $20° = 80° and 5x = 5 $\times $20° = 100°.

Thus, the angles are 80° and 100°.


5 Important Points of Class 6 Chapter 2 You Shouldn’t Miss!

S. No

Formula

1.

Sum of angles on a straight line = 180°

2.

Sum of angles around a point = 360°

3.

Complementary angles = 90°

4.

Supplementary angles = 180°

5.

Vertically opposite angles are equal


Benefits of Class 6 Maths Important Questions Chapter 2 Lines and Angles

  • Strengthens Basics: Important questions in Chapter 2 help students understand the basic concepts of lines and angles more clearly.

  • Improves Problem-Solving Skills: Practising these questions improves a student’s ability to tackle different types of geometry problems.

  • Exam Confidence: These questions are similar to what might appear in exams, helping students feel more prepared.

  • Quick Revision: Important questions act as a quick review tool, covering all key points from the chapter efficiently.

  • Time Management: Practising these questions helps students learn to manage time better during exams.

  • CBSE-Focused Preparation: These questions follow the CBSE syllabus closely, ensuring students are well-prepared for the format and style of questions.


Conclusion 

The important questions for Class 6 Maths Chapter 2, Lines and Angles, are an essential resource for learning fundamental geometry concepts. These questions guide students through key topics like types of angles and properties of lines, providing a structured approach to learning. Practising these questions helps students build confidence and ensures they can solve related problems with ease. With Vedantu’s expertly designed questions, students are better equipped to perform well in exams while also strengthening their foundational knowledge in geometry. Regular practice of these questions leads to a clear understanding and improved problem-solving skills.


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FAQs on CBSE Class 6 Maths (Ganita Prakash) Important Questions Chapter 2 - Lines and Angles

1. What are Class 6 Maths Chapter 2 Important Questions on Vedantu?

Vedantu’s Important Questions for Class 6 Maths Chapter 2, Lines and Angles, cover key concepts like types of angles, lines, and their properties. They help students practise and strengthen their basics in geometry effectively.

2. How do Vedantu’s Class 6 Important Questions for Maths Chapter 2 help in exam prep?

Vedantu’s important questions provide targeted practice on essential topics, helping students gain confidence and accuracy. They’re designed to familiarise students with the types of questions often asked in exams.

3. What topics are included in Chapter 2 - Lines and Angles Important Questions for Class 6 Maths?

Important questions for Class 6 Maths Chapter 2 cover various topics, including types of lines like parallel and perpendicular and angles such as acute, right, and obtuse. These questions reinforce understanding of these foundational concepts.

4. Are Vedantu’s Important Questions for Class 6 Maths Chapter 2 suitable for all boards?

Vedantu’s Class 6 Chapter 2 Important Questions are aligned with CBSE standards but also serve as great practice for students from other boards who want to understand lines and angles well.

5. Can students download Class 6 Maths Chapter 2 Important Questions from Vedantu?

Yes, Vedantu provides the Important Questions for Chapter 2 as a FREE downloadable PDF. Students can access it anytime and anywhere, making it easy to revise and practice on the go.

6. How do Important Questions for Class 6 Maths Chapter 2 improve understanding?

These questions cover all key points from Chapter 2, allowing students to practice and solidify their knowledge of lines, angles, and their properties, which builds a strong foundation for further study.

7. Why should I use Vedantu’s Class 6 Maths Chapter 2 Important Questions?

Vedantu’s Important Questions for Chapter 2 help students grasp essential concepts easily. With focused practice on lines and angles, students can develop a deeper understanding of geometry basics.

8. What makes Vedantu’s Important Questions for Class 6 Maths Chapter 2 unique?

Vedantu’s questions are carefully crafted by experts to cover each topic thoroughly, with a focus on helping Class 6 students gain clarity and accuracy on lines and angles without added difficulty.

9. Are the Important Questions for Class 6 Maths Chapter 2 helpful for daily practice?

Absolutely! Practising these questions daily helps students get comfortable with solving problems on lines and angles, ensuring they understand each concept before moving to more complex topics.

10. Do Vedantu’s Important Questions for Class 6 Chapter 2 include explanations?

Yes, each question is followed by a detailed solution, so students can understand the steps and logic required. This makes it easy for Class 6 students to learn and solve similar problems confidently.

11. How do Vedantu’s Class 6 Maths Chapter 2 Important Questions aid revision?

These questions cover all main points from Chapter 2, making it a quick way to revise important lines and angles concepts before tests or exams. They’re perfect for a last-minute review.

12. Are there CBSE exam-oriented questions in Vedantu’s Important Questions for Chapter 2?

Yes, Vedantu’s Important Questions are designed keeping CBSE exams in mind, focusing on topics that commonly appear in the syllabus. This gives students an edge in understanding exam patterns.

13. How can Vedantu’s Important Questions for Class 6 Maths Chapter 2 help in mastering angles?

Vedantu’s questions on Chapter 2 offer varied examples and questions on angles, which helps students fully understand the differences between angle types and how to identify them accurately.

14. Can Vedantu’s Class 6 Maths Chapter 2 Important Questions be used for homework?

Yes, these questions are excellent for homework as they cover all significant points from the chapter. Practising these questions at home strengthens understanding and prepares students for class discussions.

15. Are Vedantu’s Important Questions for Class 6 Maths Chapter 2 available for free?

Yes, Vedantu offers these important questions for FREE, making it easy for Class 6 students to access and benefit from them without any additional cost, just by downloading the PDF.