NCERT Solutions Class 6 Maths Chapter 2 Lines and Angles Exercise 2.11

Exercise 2.11 NCERT Solutions Class 6 Maths Chapter 2, Lines and Angles is generally a sort of final review or application of all the content learned throughout the Chapter. After exploring the definition, classification, measurement and relationship of lines and angles, this exercise often consists of a mishmash of different problems which prompts students to use everything learned. 

In mastering Exercise 2.11, students will be ready for the chapter assessment and will have a strong conceptual understanding of advanced geometry topics in the following grades.

1.0Download NCERT Solutions of Class 6 Maths Chapter 2 Lines and Angles Exercise 2.11

Download free NCERT Solutions for Class 6 Maths Chapter 2 Lines and Angles Exercise 2.11 for complete practice from below:

2.0Key Concepts of Exercise 2.11

• Review of Angle Types : Review of acute, obtuse, right, straight, reflex, and complete angles. 
• Angle Measurement : Practice measuring with a protractor.
• Angle Construction : Ability to construct angles equal to measures.
• Identifying Lines : Identifying lines, line segments and rays. 
• Properties of Lines : Identifying perpendicular and parallel lines.
• Application in Figures: Applying skills involved with lines and angles to simple geometric figures.
• Problem Solving: Applying a combination of skills learned to answer questions and tackle problems involving lines and angles.

3.0NCERT Exercise Solutions Class 6 Chapter 2 Lines and Angles : All Exercises 

Find all the NCERT Exercises Solutions from class 6 Maths Chapter 2:

4.0NCERT Class 6 Maths Chapter 2 Exercise 2.11 : Detailed Solutions

1. In each of the below grids, join A to other grid points in the figure by a straight line to get:

(a) An acute angle

(b) An obtuse angle

(c) A reflex angle

Mark the intended angles with curves to specify the angles. One has been done for you.

Sol.

(a)

(b)

(c)

2. Use a protractor to find the measure of each angle. Then classify each angle as acute, obtuse, right, or reflex.

(a) ∠PTR

(b) ∠PTQ

(c) ∠PTW

(d) ∠WTP

Sol. Using a protractor, we find the measure of each angle and then classify each angle as follows:

(a) ∠PTR=31∘, Acute angle

(b) ∠PTQ=60∘, Acute angle

(c) ∠PTW=104∘, Obtuse angle

(d) ∠WTP=360∘−104∘=256∘, Reflex angle.

3. Draw angles with the following degree measures:

(a) 140∘

(b) 82∘

(c) 195∘

(d) 70∘

(e) 35∘

Sol.

4. Estimate the size of each angle and then measure it with a protractor:

Classify these angles as acute, right, obtuse or reflex angles.

Sol.

(a) 45∘ Acute angle

(b) 165∘ Obtuse angle

(c) 120∘ Obtuse angle

(d) 30∘ Acute angle

(e) 95∘ Obtuse angle

(f) 350∘ Reflex angle

5. Make any figure with three acute angles, one right angle and two obtuse angles.

Sol.

In the figure given above, angles marked as ∠1,∠2 and ∠3 are acute angles (i.e. angles less than 90∘ ) whereas angle marked as ∠4 is right angle.

Angles marked as ∠5 and ∠6 are obtuse angles (i.e. greater than 90∘ ).

6. Draw the letter ' M ' such that the angles on the sides are 40∘ each and the angle in the middle is 60∘.

Sol.

∠1=40∘,∠2=40∘,∠3=60∘

7. Draw the letter ' Y ' such that the three angles formed are 150∘,60∘ and 150∘.

Sol.

∠1=150∘,∠2=60∘,∠3=150∘

8. The Ashoka Chakra has 24 spokes. What is the degree measure of the angle between two spokes next to each other? What is the largest acute angle formed between two spokes?

Sol. Angle between two consecutive spokes =24360∘​=15∘

Largest acute angle =5×15∘=75∘

9. Puzzle: I am an acute angle. If you double my measure, you get an acute angle. If you triple my measure, you will get an acute angle again. If you quadruple (four times) my measure, you will get an acute angle yet again! But if you multiply my measure by 5 , you will get an obtuse angle measure. What are the possibilities for my measure?

Sol. As acute angle is the angle which is less than 90∘ whereas obtuse angle is the angle greater than 90∘.

We have to find the acute angle such that:

4 times of angle <90∘ and 5 times of angle >90∘

Angle can be: 19∘,20∘,21∘,22∘

5.0Key Features and Benefits Class 6 Maths Chapter 2 Lines and Angles: Exercise 2.11

• Recap: It contains a general recap of all key ideas related to the "Lines and Angles" chapter.
• Reinforcement: The review will reinforce all learned skills, from identification and classification, to measurement and drawing. 
• Exam Preparation: This will be a valuable study tool for future chapter tests and/or final exams, as it contains a variety of problems.  
• Confidence Building: Overcoming this exercise will help students to strengthen their confidence in understanding geometry. 
• Identifying Weaknesses: This activity will create an opportunity for students to identify the specific area they need more practice or support. 
• Problem Solving Flexibility: This will help improve the versatility of the student's ability to approach and solve many types of lines and angles problems.