NCERT Solutions Class 6 Maths Chapter 2 Lines and Angles Exercise 2.10

Exercise 2.10 in NCERT Solutions for Class 6 Maths Chapter 2, titled "Lines and Angles," tends to bring together the core concepts taught throughout the chapter, and typically focuses on the more complicated aspects of angle properties or relations. The goal is to help students better understand how lines and angles interact within a shape. 

This exercise is very important for developing a better understanding of geometric relationships. Dealing with more complicated scenarios involves more lines and angles, which students have learned needed to be applied. This is essential for topics in higher level geometry.

1.0Download NCERT Solutions of Class 6 Maths Chapter 2 Lines and Angles Exercise 2.10

Get the complete NCERT Solutions for Exercise 2.10 of Class 6 Maths Chapter 2. These worked examples take you step-by-step through the solutions to angles, helping you solve and thus build your confidence (for exams and later study).

2.0Key Concepts of Exercise 2.10

• Perpendicular Lines: Understanding and identifying lines that intersect such that they form a right angle (90∘). 
• Parallel Lines: A presentation of lines that do not intersect because they maintain the same distance. 
• Intersecting Lines: Considering the nature of the angles made when two or more lines intersect each other. 
• Transversal Line: Recognition of a line that intercepts two or more other lines and the special angle pairs made (e.g., corresponding angles, alternate interior angles - again, the concept would likely only be presented in a more formal way in higher grades, but the basic idea of unique angles may exist). 
• Angle Pairs (Preliminary): Introduce the concept of complementary angles (sum to 90∘) and supplementary angles (sum to 180∘) in simpler situations. 
• Properties of Lines and Angles in Figures: Application of their knowledge of lines and angles to questions involving basic shapes or scenarios.

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 2.10 : Detailed Solutions

1. In Fig. 2.23, list all the angles possible. Did you find them all? Now, guess the measures of all the angles. Then, measure the angles with a protractor. Record all your numbers in a table. See how close your guesses are to the actual measures.

Fig. 2.23

Sol. List of Angles:

∠PAC,∠ACD,∠CDL,∠DLP,∠APL,∠LPR,∠PLS,∠LSR,∠PRS,∠BRS

2. Use a protractor to draw angles having the following degree measures:

(a) 110∘

(b) 40∘

(c) 75∘

(d) 112∘

(e) 134∘

Sol.

3. Draw an angle whose degree measure is the same as the angle given below:

Also, write down the steps you followed to draw the angle.

Sol. Step 1: Measure The Given Angle ( ∠IHJ=115∘ )

Step 2: Draw the horizontal ray BC.

Step 3: Using protractor, place the centre of protractor on B and align BC to the zero line.

Step 4: Starting from 0∘ count up to 115∘ and mark a point A at the label 115∘.

Step 5: Using a ruler join the point B and A Hence, ∠ABC=115∘.

5.0Key Features and Benefits Class 6 Maths Chapter 2 Lines and Angles: Exercise 2.10

• Advanced Conceptual Understanding: A deeper dive into the relationships between lines and angles, anything beyond a simple definition. 
• Problem Solving Skills: Provide students with the capability to work through complex problems involving intersecting and parallel lines. 
• Logical Reasoning: Provide encouragement into forming the logical reasoning and deductive thinking required for developing geometric proofs in higher grades.
• Coverage: Provide a thorough understanding of the full chapter by integrating the different themes.
• Exam Preparation: Provides excellent practice for exam prep with many different problems.
• Building Understanding: Builds essential understanding for Theorems on parallel lines, triangles, and quadrilaterals.