NCERT Solutions Class 6 Maths Chapter 2 Lines and Angles Exercise 2.5

In Class 6 Maths, Chapter 2 focuses on Lines and Angles. The different types of lines and angles and how they relate to each other is an important foundation that will help them understand what comes next in geometry. 

The NCERT Solutions from Exercise 2.5 develops students' ability to see there are opportunities to measure angles and find the relationship between those angles, which translates into a mathematical application that they experience outside of math. Students will collaborate as they explore and problem-solve, while refining their visual and analytical skills, and making the study of geometry both engaging and realistic.

1.0Download NCERT Solutions of Class 6 Maths Chapter 2 Lines and Angles Exercise 2.5

With a free PDF to download, you can confidently access NCERT Solutions of Class 6 Maths Chapter 2 Exercise 2.5, which could help you to easily measure angles and understand angle relationships.

2.0Key Concepts of Exercise 2.5

• Identify angles accurately with a protractor. 
• Identify angles: acute, obtuse, right, straight, reflex. 
• Identify adjacent, complementary and supplementary angles. 
• Identify vertically opposite angles and the properties of vertically opposite angles. 
• Solve problems calculating angles and angle relationships.

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 2.5 : Detailed Solutions

1. Can you find the angles in the given pictures? Draw the rays forming any one of the angles and name the vertex of the angle.

Sol. The name of the vertex of ∠BDC is D .

The name of the vertex of ∠PQR is Q .

The name of the vertex of ∠LMN is M .

The name of the vertex of ∠XYZ is Y .

2. Draw and label an angle with arms ST and SR.

Sol.

3. Explain why ∠APC cannot be labelled as ∠P.

Sol. There is more than one angle at P , that is ∠APB,∠APC and ∠BPC That is why ∠APC can't be written as ∠P.

4. Name the angles marked in the given figure.

Sol. The angles marked in the given figure are ∠RTQ and ∠RTP.

5. Mark any three points on your paper that are not on one line. Label them A, B, C. Draw all possible lines going through pairs of these points. How many lines do you get? Name them. How many angles can you name using A, B, C? Write them down, and mark each of them with a curve as in Fig. 2.9.

Sol. We get three lines.

These are line AB , line BC and line CA .

Also, we get three angles.

These are ∠ABC,∠BCA and ∠CAB.

6. Now mark any four points on your paper so that no three of them are on one line. Label them A, B, C, D. Draw all possible lines going through pairs of these points. How many lines do you get? Name them. How many angles can you name using A, B, C, D? Write them all down, and mark each of them with a curve as in Fig. 2.9.

Sol.

We get six lines. These are line AB , line BC , line CD , line DA , line AC and line BD .

Also, we get twelve angles. These are ∠BAC,∠CAD,∠BAD,∠ABD,∠DBC,∠ABC,∠BCA,∠ACD, ∠BCD,∠CDB,∠CDA,∠BDA.

5.0Key Features and Benefits Class 6 Maths Chapter 2 Lines and Angles: Exercise 2.5

• Develops accuracy in identifying and measuring angles.  
• Contributes to a sound understanding of angles as a foundation for future work geometry. 
• Fosters a habit of logical reasoning and visualising the relationship between angles. 
• Guided, step-by-step solutions help students solve complex mathematics problems easily. 
• Enhance students' preparedness for assessments and increase confidence in problem-solving.