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NCERT Solutions for Class 9 Maths Chapter 6 Lines and Angles

NCERT Solutions for Class 9 Maths Chapter 6 Lines and Angles provide clear, step-by-step answers to all exercises, helping students understand angle properties, proofs, and relationships for better exam preparation and strong conceptual learning.
authorImageNeha Tanna24 Nov, 2025
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Chapter 6, "Lines and Angles," is a foundational unit in Class 9 Mathematics. It introduces key geometric terminology and theorems that students will use throughout their academic careers.

The NCERT Solutions for Class 9 Maths Chapter 6 Lines and Angles are an indispensable resource. They provide clear, accurate explanations and step-by-step derivations for every exercise question. Using these solutions ensures a strong grasp of conceptual clarity and helps secure excellent marks in exams.

What are Lines and Angles?

In simple terms, a line is a straight path that extends endlessly in both directions. It has no thickness and no endpoints. Angles are formed when two rays originate from the same point, called the vertex.

 The measure of an angle is the amount of rotation between the two rays. This chapter explores various types of angles, such as complementary, supplementary, and vertically opposite angles. It also focuses on the relationships between angles when lines intersect or when a transversal cuts parallel lines.

NCERT Solutions for Class 9 Maths Chapter 6 Lines and Angles Exercises

This chapter includes three main exercises, with solutions covering proofs of key theorems and application-based problems. Students must practice all exercises to fully understand angle relationships involving parallel lines and transversals.

NCERT Solutions for Class 9 Maths Chapter 6 Lines and Angles Exercises

 Class 9 Maths Chapter 6 Lines and Angles Exercise 6.1

Class 9 Maths Chapter 6 Lines and Angles Exercise 6.2

How to use Class Lines and Angles for exam preparation

Using the NCERT Solutions for Class 9 Maths Chapter 6 Lines and Angles effectively is crucial for exam success.

Use them as a testing mechanism, not just for copying answers. After attempting a question, use the solutions to check your method and identify errors in reasoning or calculation.

  • Master the Theorems: Understand and memorize the statement of key theorems, such as the Angle Sum Property of a Triangle is 180 degree. Practice the proofs given in the solutions.

  • Practice Diagrams: Always draw a clear, labeled diagram for every question. The solutions often include helpful diagrams; use them as a guide for proper labeling.

  • Focus on Logic: Geometry relies on sequential logical steps. Pay attention to how the solutions justify each step using axioms, postulates, or previously proven theorems.

  • Time Yourself: Once comfortable with the concepts, solve exercise questions under timed conditions. Use the solutions to quickly verify the speed and accuracy of your answer.

Explore Chapter Resources

NCERT Solutions Class 9 Maths Chapter 1  NCERT Solutions Class 9 Maths Chapter 2
NCERT Solutions Class 9 Maths Chapter 3 NCERT Solutions Class 9 Maths Chapter 4
NCERT Solutions Class 9 Maths Chapter 5 NCERT Solutions Class 9 Maths Chapter 6
NCERT Solutions Class 9 Maths Chapter 7 NCERT Solutions Class 9 Maths Chapter 8
NCERT Solutions Class 9 Maths Chapter 9 NCERT Solutions Class 9 Maths Chapter 10
NCERT Solutions Class 9 Maths Chapter 11 NCERT Solutions Class 9 Maths Chapter 12

 

NCERT Solutions for Class 9 Maths Chapter 6 FAQs

What are the key concepts covered in Chapter 6: Lines and Angles?

Chapter 6 covers essential concepts such as intersecting lines, parallel lines, transversal lines, and various types of angles, including complementary, supplementary, adjacent, vertically opposite, alternate interior, and corresponding angles. It also discusses the properties and relationships between these angles and lines.

How can students benefit from practicing NCERT Solutions for Chapter 6?

Practicing NCERT Solutions helps students reinforce their understanding of lines and angles.

What are the properties of corresponding angles?

Corresponding angles are formed when a transversal intersects two parallel lines. These angles are on the same side of the transversal and in corresponding positions. They are equal in measure, which is a key property used in solving geometric problems.

What is the significance of alternate interior angles?

Alternate interior angles are angles formed on opposite sides of a transversal intersecting two parallel lines. They are equal in measure, which is a crucial property used to solve various geometric problems involving parallel lines.
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