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

Exercise 2.6

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?

Ans: Let’s label the rectangle and the vertex of the fold as shown in the figure below.

From the figure we will get $\angle 1$ $\angle 2$, $\angle 3$ and $\angle 4$

Now comparing $\angle 1$ $\le$ $\angle 2$ and $\angle 4$ $\le$ $\angle 3$

That means $\angle 1$ = $\angle 4$ and $\angle 2$ = $\angle 3$

$\angle 2$, $\angle 3$ are the largest angles.

$\angle 1$, $\angle 4$ are the smallest angles.

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.

Ans:

(a) ∠AOB > ∠XOY

That means ∠AOB has more spread than ∠XOY

(b) ∠AOB > ∠XOB

That means ∠AOB has more spread than ∠XOB

(c) ∠XOB = ∠XOC

That means, here B and C are points on the same ray, so both angles have the same vertex and arms. Therefore ∠XOB and ∠XOC have same spread. 

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

Ans:

From the above figure, $\angle$ 1 > $\angle$ 3

That means $\angle 1$ has more spread than $\angle$ 3

Now add $\angle$ 2 on both sides, we get

$\angle$ 1 + $\angle$ 2 > $\angle$ 3 +$\angle$2

Therefore, ∠XOY > ∠AOB

Benefits of NCERT Solutions for Class 6 Maths Chapter 2 Exercise 2.6 Lines and Angles

• Students gain a simple and clear understanding of how to compare different angles effectively.

• Each problem is solved with clear, step-by-step instructions, making it easier for students to follow and understand the methods used.

• This exercise helps students develop essential skills needed for more advanced topics in geometry.

• It teaches students how to use a protractor to measure and compare angles accurately.

• These solutions help students feel more confident in solving angle-related questions during exams.

• 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, Exercise 2.6 on comparing angles, provided by Vedantu, help students easily understand the concept of measuring and comparing angles. With clear explanations and step-by-step guidance, these solutions make learning enjoyable and straightforward. Students can practise using a protractor to measure different angles and understand how to identify acute, obtuse, and right angles. This exercise also enhances their problem-solving skills, a strong foundation for future geometry topics. Vedantu’s solutions are designed to help students confidently approach their exams, ensuring they understand key concepts thoroughly. These solutions are very useful for revising and mastering the chapter on lines and angles.

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.